The talk From the Boltzmann equation to hydrodynamic models, by Dr. Nicola Zamponi (TU Wien) will be held on Monday October 16, 2017 at 9:00 in room K3.
Informal meeting on the occasion of the beginning of the semester
Informal meeting on the occasion of the beginning of the semester will take place in Diego bar (Sokolovská 467/114, 186 00 Praha 8-Karlín) on Tuesday 17th October at 19:00. All teachers, former students, perspective students and especially 1st year students of mathematical modelling are cordially invited!
ERC-CZ MORE — bibliography
Project ERC-CZ Implicitly constituted material models: From theory through model reduction to efficient numerical methods ended on 31st August 2017. The project involved substantial number of people form the mathematical modelling group as well as people from the numerical mathematics group, and we see the project as very successful. In particular, we are very happy that we have indeed simultaneously investigated physical, analytical and computational aspects of the mathematical modelling of complex materials.
As a byproduct of writing a final report, we have compiled a list of papers published with the support of the project. This list of papers so far published is shown below. (There is, of course, a lot of manuscripts that are under review or just in print, these are listed on the project webpage.) If you want to more about the project, please visit the project webpage.
- Alnæs, Martin; Blechta, Jan; Hake, Johan; Johansson, August; Kehlet, Benjamin; Logg, Anders; Richardson, Chris; Ring, Johannes; Rognes, Marie; and Wells, Garth: The FEniCS project version 1.5.Archive of Numerical Software, 3(100), 2015.DOI: 10.11588/ans.2015.100.20553
- Anikushyn, Andrii and Pokojovy, Michael: Multidimensional thermoelasticity for nonsimple materials — well-posedness and long-time behavior.Applicable Analysis, 96:1561–1585, 2017.DOI: 10.1080/00036811.2017.1295447
- Arioli, Mario; Liesen, Jörg; Miedlar, Agnieszka; and Strakoš, Zdeněk: Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems.GAMM Mitteilungen, 36(1):102–129, 2013.DOI: 10.1002/gamm.201310006
- Beck, Lisa; Bulíček, Miroslav; and Frehse, Jens: Old and new results in regularity theory for diagonal elliptic systems via blow up techniques.Journal of Differential Equations, 259(11):6528–6572, 2015.DOI: 10.1016/j.jde.2015.07.030
- Beck, Lisa; Bulíček, Miroslav; Málek, Josef; and Süli, Endre: On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth.Archive for Rational Mechanics and Analysis, 225(2):717–769, 2017.DOI: 10.1007/s00205-017-1113-4
- Bonnivard, Matthieu; Suárez-Grau, Francisco J.; and Tierra Chica, Giordano: On the influence of wavy riblets on the slip behaviour of viscous fluids.Zeitschrift für angewandte Mathematik und Physik, 67(2):67:27, 2016.DOI: 10.1007/s00033-015-0614-y
- Bulíček, Miroslav; Burczak, Jan; and Schwarzacher, Sebastian: A unified theory for some non-Newtonian fluids under singular forcing.SIAM Journal on Mathematical Analysis, 48(6):4241–4267, 2016.DOI: 10.1137/16M1073881
- Bulíček, Miroslav; Diening, Lars; and Schwarzacher, Sebastian: Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems.Analysis \& PDE, 9(5):1115–1151, 2016.DOI: 10.2140/apde.2016.9.1115
- Bulíček, Miroslav; Frehse, Jens; and Steinhauer, Mark: Weighted integral techniques and C-alpha-estimates for a class of elliptic systems with p-growth.Annali di Matematica Pura ed Applicata, 194(4):1025–1069, 2015.DOI: 10.1007/s10231-014-0410-x
- Bulíček, Miroslav; Glitzky, Annegret; and Liero, Matthias: Systems describing electrothermal effects with p(x)-laplacian like structure for discontinuous variable exponents.SIAM Journal on Mathematical Analysis, 48(5):3496–3514, 2016.DOI: 10.1137/16M1062211
- Bulíček, Miroslav; Glitzky, Annegret; and Liero, Matthias: Thermistor systems of p(x)-Laplace-type with discontinuous exponents via entropy solutions.Discrete and Continuous Dynamical Systems – Series S, 10(4):697–713, 2017.DOI: 10.3934/dcdss.2017035
- Bulíček, Miroslav; Gwiazda, Piotr; and Świerczewska-Gwiazda, Agnieszka: On unified theory for scalar conservation laws with fluxes and sources being discontinuous with respect to the unknown.Journal of Differential Equations, 262(1):313–364, 2017.DOI: 10.1016/j.jde.2016.09.020
- Bulíček, Miroslav; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; and Süli, Endre: Analysis of a viscosity model for concentrated polymers.Mathematical Models and Methods in Applied Sciences (M3AS), 26(8):1599–1648, 2016.DOI: 10.1142/S0218202516500391
- Bulíček, Miroslav and Málek, Josef: On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary.In Herbert Amann; Yoshikazu Giga; Hideo Kozono; Hisashi Okamoto; and Masao Yamazaki, editors, Recent Developments of Mathematical Fluid Mechanics, Advances in Mathematical Fluid Mechanics, 135–156. Birkhauser, Basel, 2016.DOI: 10.1007/978-3-0348-0939-9\_8
- Bulíček, Miroslav and Málek, Josef: Internal flows of incompressible fluids subject to stick-slip boundary conditions.Vietnam Journal of Mathematics, 45:2017–220, 2017.DOI: 10.1007/s10013-016-0221-z
- Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; and Süli, Endre: On elastic solids with limiting small strain: modelling and analysis.EMS Surveys in Mathematical Sciences, 1(2):283–332, 2014.DOI: 10.4171/EMSS/7
- Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; and Walton, Jay R.: Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies.Calculus of Variations and PDE’s, 54(2):2115–2147, 2015.DOI: 10.1007/s00526-015-0859-5
- Bulíček, Miroslav; Málek, Josef; and Süli, Endre: Analysis and approximation of a strain-limiting nonlinear elastic model.Mathematics and Mechanics of Solids, 20(1):92–118, 2015.DOI: 10.1177/1081286514543601
- Bulíček, Miroslav; Málek, Josef; and Žabenský, Josef: A generalization of the Darcy–Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity.Journal of Mathematical Analysis and Applications, 424(1):785–801, 2015.DOI: 10.1016/j.jmaa.2014.11.053
- Bulíček, Miroslav; Málek, Josef; and Žabenský, Josef: On generalized Stokes’ and Brinkman’s equations with pressure- and shear-dependent viscosity and drag coefficient.Nonlinear Analysis: Real World Applications, 26:109–132, 2015.DOI: 10.1016/j.nonrwa.2015.05.004
- Bulíček, Miroslav and Pustějovská, Petra: Existence analysis for a model describing flow of an incompressible chemically reacting non-Newtonian fluid.SIAM Journal on Mathematical Analysis, 46(5):3223–3240, 2014.DOI: 10.1137/130927589
- Bulíček, Miroslav and Schwarzacher, Sebastian: Existence of very weak solutions to elliptic systems of p-laplacian type.Calculus of Variations and Partial Differential Equations, 55(3):55, 2016.DOI: 10.1007/s00526-016-0986-7
- Bulíček, Miroslav and Žabenský, Josef: Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities.Nonlinear Analysis — Theory, Methods \& Applications, 127:94–127, 2015.DOI: 10.1016/j.na.2015.07.001
- Camano, Jessika; Gatica, Gabriel N.; Oyarzúa, Ricardo; and Tierra Chica, Giordano: An augmented mixed finite element method for the Navier–Stokes equations with variable viscosity.SIAM Journal on Numerical Analysis, 54(2):1069–1092, 2016.DOI: 10.1137/15M1013146
- Camano, Jessika; Oyarzúa, Ricardo; and Tierra Chica, Giordano: Analysis of an augmented mixed-FEM for the Navier–Stokes problem.Mathematics of Computation, 86(304):589–615, 2017.DOI: 10.1090/mcom/3124
- Diening, Lars; Feireisl, Eduard; and Lu, Yong: The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system.ESAIM: Control, Optimisation and Calculus of Variations, 23(3):851–868, 2017.DOI: 10.1051/cocv/2016016
- Dolejší, Vít; Ern, Alexandre; and Vohralík, Martin: $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems.SIAM Journal on Scientific Computing, 38(5):A3220–A3246, 2016.DOI: 10.1137/15M1026687
- Dolejší, Vít; Šebestová, Ivana; and Vohralík, Martin: Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids.Journal of Scientific Computing, 64(1):1–34, 2015.DOI: 10.1007/s10915-014-9921-2
- Duintjer Tebbens, Jurjen; Meurant, Gérard; Sadok, Hassane; and Strakoš, Zdeněk: On investigating GMRES convergence using unitary matrices.Linear Algebra and its Applications, 450(1):83–107, 2014.DOI: 10.1016/j.laa.2014.02.044
- Ern, Alexandre and Vohralík, Martin: Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations.SIAM Journal on Numerical Analysis, 53(2):1058–1081, 2015.DOI: 10.1137/130950100
- Feireisl, Eduard: Mathematical analysis of fluids in motion: From well-posedness to model reduction.Revista Matemática Complutense, 26(2):299–340, 2013.DOI: 10.1007/s13163-013-0126-2
- Feireisl, Eduard: Scaling and singular limits in the equations of continuum fluid mechanics.Methods and Applications of Analysis, 20(2):115–140, 2013.DOI: 10.4310/MAA.2013.v20.n2.a2
- Feireisl, Eduard: Relative entropies, dissipative solutions, and singular limits of complete fluid systems.In Alberto Bressan; Fabio Ancona; Pierangelo Marcati; and Andrea Marson, editors, Hyperbolic Problems: Theory, Numerics, Applications, volume 8 of AIMS on Applied Mathematics, 11–28. AIMS, Springfield, USA, 2014.ISBN 13: 978-1-60133-017-8
- Feireisl, Eduard; Liao, Xian; and Málek, Josef: Global weak solutions to a class of non-Newtonian compressible fluids.Mathematical Methods in Applied Sciences, 38(16):3482–3494, 2015.DOI: 10.1002/mma.3432
- Feireisl, Eduard and Lu, Yong: Homogenization of the stationary compressible Navier–Stokes equations in domains with tiny holes.Journal of Mathematical Fluid Mechanics, 17(2):381–392, 2015.DOI: 10.1007/s00021-015-0200-2
- Feireisl, Eduard; Lu, Yong; and Málek, Josef: On pde analysis of flows of quasi-incompressible fluids.Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 96(4):491–508, 2016.DOI: 10.1002/zamm.201400229
- Feireisl, Eduard; Lu, Yong; and Novotný, Antonín: Rotating compressible fluids under strong stratification.Nonlinear Analysis: Real World Applications, 19:11–18, 2014.DOI: 10.1016/j.nonrwa.2014.02.004
- Feireisl, Eduard; Lu, Yong; and Süli, Endre: Dissipative weak solutions to compressible Navier–Stokes–Fokker–Planck systems with variable viscosity coefficients.Journal of Mathematical Analysis and Applications, 443(1):322–351, 2016.DOI: 10.1016/j.jmaa.2016.05.030
- Feireisl, Eduard and Novotný, Antonín: Multiple scales and singular limits for compressible rotating fluids with general initial data.Communications in Partial Differential Equations, 39(6):1104–1127, 2014.DOI: 10.1080/03605302.2013.856917
- Feireisl, Eduard and Novotný, Antonín: Scale interactions in compressible rotating fluids.Annali di Matematica Pura ed Applicata, 193(6):1703–1725, 2014.DOI: 10.1007/s10231-013-0353-7
- Feireisl, Eduard; Novotný, Antonín; and Sun, Yongzhong: A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system.Archive for Rational Mechanics and Analysis, 212(1):219–239, 2014.DOI: 10.1007/s00205-013-0697-6
- Gatica, Gabriel N.; Ruiz-Baier, Ricardo; and Tierra Chica, Giordano: A mixed finite element method for Darcy’s equations with pressure dependent porosity.Mathematics of Computation, 85:1–33, 2016.DOI: 10.1090/mcom/2980
- Gergelits, Tomáš and Strakoš, Zdeněk: Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations.Numerical Algoritms, 65(4):759–782, 2014.DOI: 10.1007/s11075-013-9713-z
- Guidat, Thomas; Pochat, Stephane; Bourgeois, Olivier; and Souček, Ondřej: Landform assemblage in Isidis Planitia, Mars: Evidence for a 3 Ga old polythermal ice sheet.Earth and Planetary Science Letters, 411:253–267, 2015.DOI: 10.1016/j.epsl.2014.12.002
- Guillén-González, Francisco; Rodríguez-Bellido, Maria Angeles; and Tierra Chica, Giordano: Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects.International Journal for Numerical Methods in Engineering (IJNME), 108(6):535–567, 2016.DOI: 10.1002/nme.5221
- Guillén-González, Francisco and Tierra Chica, Giordano: Second order schemes and time-step adaptivity for Allen–Cahn and Cahn–Hilliard models.Computers \& Mathematics with Applications, 68(8):821–846, 2014.DOI: 10.1016/j.camwa.2014.07.014
- Guillén-González, Francisco and Tierra Chica, Giordano: Approximation of smectic-A liquid crystals.Computer Methods in Applied Mechanics and Engineering, 290(15):342–361, 2015.DOI: 10.1016/j.cma.2015.03.015
- Hnětynková, Iveta; Plešinger, Martin; and Strakoš, Zdeněk: Band generalization of the Golub–Kahan bidiagonalization, generalized Jacobi matrices, and the core problem.SIAM Journal on Matrix Analysis and Applications, 36(2):417–434, 2015.DOI: 10.1137/140968914
- Hron, Jaroslav; Miloš, Vojtěch; Průša, Vít; Souček, Ondřej; and Tůma, Karel: On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients.International Journal of Non-Linear Mechanics, 95:193–208, 2017.DOI: 10.1016/j.ijnonlinmec.2017.06.011
- Hron, Jaroslav; Rajagopal, K. R.; and Tůma, Karel: Flow of a Burgers fluid due to time varying loads on deforming boundaries.Journal of Non-Newtonian Fluid Mechanics, 210(0):66–77, 2014.DOI: 10.1016/j.jnnfm.2014.05.005
- Janečka, Adam and Průša, Vít: The motion of a piezoviscous fluid under a surface load.International Journal of Non-Linear Mechanics, 60(4):23–32, 2014.DOI: 10.1016/j.ijnonlinmec.2013.12.006
- Janečka, Adam and Průša, Vít: Perspectives on using implicit type constitutive relations in the modelling of the behaviour of non-Newtonian fluids.AIP Conference Proceedings, 1662:020003, 2015.DOI: 10.1063/1.4918873
- Janečka, Adam; Průša, Vít; and Rajagopal, K. R.: Euler–Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range.Archives of Mechanics, 68(1):3–25, 2016.DOI: http://am.ippt.pan.pl/am/article/viewFile/v68p3/pdf
- Kalousová, Klára; Souček, Ondřej; Tobie, Gabriel; Choblet, Gael; and Čadek, Ondřej: Ice melting and downward transport of meltwater by two-phase flow in Europa’s ice shell.JGR-Planets, 119(3):532–549, 2014.DOI: 10.1002/2013JE004563
- Kopal, Jiří; Rozložník, Miroslav; and Tůma, Miroslav: An adaptive multilevel factorized sparse approximate inverse preconditioning.Advances in Engineering Software, 2016.DOI: 10.1016/j.advengsoft.2016.10.005
- Kopal, Jiří; Rozložník, Miroslav; and Tůma, Miroslav: Factorized approximate inverses with adaptive dropping.SIAM Journal on Scientific Computing, 38(3):A1807–A1820, 2016.DOI: 10.1137/15M1030315
- Kuchta, Miroslav; Tobie, Gabriel; Miljkovic, Katarina; Běhounková, Marie; Souček, Ondřej; and Čadek, Ondřej: Despinning and shape evolution of Saturn’s moon Iapetus triggered by a giant impact.Icarus, 252:454–465, 2015.DOI: 10.1016/j.icarus.2015.02.010
- Lu, Yong: On uniform estimates for Laplace equation in balls with small holes.Calculus of Variations and Partial Differential Equations, 55(5):110, 2016.DOI: 10.1007/s00526-016-1055-y
- Lu, Yong and Zhang, Zhifei: Partially strong transparency conditions and a singular localization method in geometric optics.Archive for Rational Mechanics and Analysis, 222(1):245–283, 2016.DOI: 10.1007/s00205-016-1000-4
- Málek, Josef and Průša, Vít: Derivation of equations for continuum mechanics and thermodynamics of fluids.In Yoshikazu Giga and Antonín Novotný, editors, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer, 2016.ISBN 978-3-319-13343-0.DOI: 10.1007/978-3-319-10151-4\_1-1
- Málek, Josef; Rajagopal, K. R.; and Suková, Petra: Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations.Applications of Mathematics, 61(1):79–102, 2016.DOI: 10.1007/s10492-016-0123-0
- Málek, Josef; Rajagopal, K. R.; and Tůma, Karel: On a variant of the Maxwell and Oldroyd-B models within the context of a thermodynamic basis.International Journal of Non-Linear Mechanics, 76:42–47, 2015.DOI: 10.1016/j.ijnonlinmec.2015.03.009
- Málek, Josef; Rajagopal, K. R.; and Tůma, Karel: A thermodynamically compatible model for describing the response of asphalt binders.International Journal of Pavement Engineering, 16(4):297–314, 2015.DOI: 10.1080/10298436.2014.942860
- Málek, Josef; Rajagopal, K. R.; and Tůma, Karel: A thermodynamically compatible model for describing asphalt binders: solutions of problems.International Journal of Pavement Engineering, 17(6):550–564, 2016.DOI: 10.1080/10298436.2015.1007575
- Málek, Josef; Rajagopal, K. R.; and Žabenský, Josef: On power-law fluids with the power-law index proportional to the pressure.Applied Mathematics Letters, 62:118–123, 2016.DOI: 10.1016/j.aml.2016.07.007
- Málek, Josef and Strakoš, Zdeněk: Preconditioning and the conjugate gradient method in the context of solving PDEs.SIAM Spotlight Series. SIAM, Philadelphia, 2015.ISBN 978-1-611973-83-9.DOI: http://bookstore.siam.org/sl01/
- Maltsev, Valerii and Pokojovy, Michael: On a parabolic-hyperbolic filter for multicolor image noise reduction.Evolution Equations and Control Theory (EECT), 5(2):251–272, 2016.DOI: 10.3934/eect.2016004
- Orava, Vít; Souček, Ondřej; and Čendula, Peter: Multi-phase modeling of non-isothermal reactive flow in fluidized bed reactors.Journal of Computational and Applied Mathematics, 289:282–295, 2015.DOI: 10.1016/j.cam.2015.01.012
- Papež, Jan; Liesen, Jörg; and Strakoš, Zdeněk: Distribution of the discretization and algebraic error in numerical solution of partial differential equations.Linear Algebra and its Applications, 449:89–114, 2014.DOI: 10.1016/j.laa.2014.02.009
- Perlácová, Tereza and Průša, Vít: Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids.Journal of non-Newtonian Fluid Mechanics, 216:13–21, 2015.DOI: 10.1016/j.jnnfm.2014.12.006
- Průša, Vít and Rajagopal, K. R.: On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck–Boussinesq type approximations.Mathematical Models and Methods in Applied Sciences, 23(10):1761–1794, 2013.DOI: 10.1142/S0218202513500516
- Průša, Vít and Rajagopal, K. R.: On the response of physical systems governed by non-linear ordinary differential equations to step input.International Journal of Non-Linear Mechanics, 81:207–221, 2016.DOI: 10.1016/j.ijnonlinmec.2015.10.013
- Průša, Vít; Rajagopal, K. R.; Srinivasa, Arun; and Yuan, Zhi: Vibrations of a lumped parameter mass-spring-dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function.International Journal of Non-Linear Mechanics, 76:154–163, 2015.DOI: 10.1016/j.ijnonlinmec.2015.06.009
- Průša, Vít; Řehoř, Martin; and Tůma, Karel: Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots.Zeitschrift für angewandte Mathematik und Physik, 68(24), 2017.DOI: 10.1007/s00033-017-0768-x
- Pultarová, Ivana: Fourier analysis of the aggregation based algebraic multigrid for stochastic matrices.SIAM Journal on Matrix Analysis and Applications, 34(4):1596–1610, 2013.DOI: 10.1137/130913821
- Pultarová, Ivana: Convergence theory of exact interpolation scheme for computing several eigenvectors.Numerical Linear Algebra with Applications, 23(2):373–390, 2016.DOI: 10.1002/nla.2029
- Pultarová, Ivana: Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants.Computers \& Mathematics with Applications, 71(4):949–964, 2016.DOI: 10.1016/j.camwa.2016.01.006
- Řehoř, Martin; Blechta, Jan; and Souček, Ondřej: On some practical issues concerning the implementation of Cahn–Hilliard–Navier–Stokes type models.International Journal of Advances in Engineering Sciences and Applied Mathematics, 1–10, 2016.DOI: 10.1007/s12572-016-0171-4
- Řehoř, Martin and Průša, Vít: Squeeze flow of a piezoviscous fluid.Applied Mathematics and Computation, 274:414–429, 2016.DOI: 10.1016/j.amc.2015.11.008
- Řehoř, Martin; Průša, Vít; and Tůma, Karel: On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting.Physics of Fluids, 28(10):103102, 2016.DOI: 10.1063/1.4964662
- Scott, Jennifer and Tůma, Miroslav: Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations.SIAM Journal on Scientific Computing, 38(6):C603–C623, 2016.DOI: 10.1137/16M105890X
- Souček, Ondřej; Bourgeois, Olivier; Pochat, Stephane; and Guidat, Thomas: A 3 Ga old polythermal ice sheet in Isidis Planitia, Mars: dynamics and thermal regime inferred from numerical modeling.Earth and Planetary Science Letters, 426:176–190, 2015.DOI: 10.1016/j.epsl.2015.06.038
- Souček, Ondřej; Hron, Jaroslav; Běhounková, Marie; and Čadek, Ondřej: Effect of the tiger stripes on the deformation of Saturn’s moon Enceladus.Geophysical Research Letters, 43(14):7417–7423, 2016.DOI: 10.1002/2016gl069415
- Souček, Ondřej; Kalousová, Klára; and Čadek, Ondřej: Water transport in planetary ice layers – a parametric study.Geophysical \& Astrophysical Fluid Dynamics, 108(6):639–666, 2014.DOI: 10.1080/03091929.2014.969251
- Souček, Ondřej; Průša, Vít; Málek, Josef; and Rajagopal, K. R.: On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures.Acta Mechanica, 225(11):3157–3186, 2014.DOI: 10.1007/s00707-013-1038-4
- Stein, Judith and Průša, Vít: Viscoelastic rate type fluids with temperature dependent material parameters — stability of the rest state.AIP Conference Proceedings, 1843:020004, 2017.DOI: 10.1063/1.4982979
- Tierra Chica, Giordano and Guillén-González, Francisco: Numerical methods for solving the Cahn–Hilliard equation and its applicability to related energy-based models.Archives of Computational Methods in Engineering, 22(2):269–289, 2015.DOI: 10.1007/s11831-014-9112-1
- Tierra Chica, Giordano; Pavissich, Juan P.; Nerenberg, Robert; Xu, Zhiliang; and Alber, Mark S.: Multicomponent model of deformation and detachment of a biofilm under fluid flow.Journal of the Royal Society Interface, 12:20150045, 2015.DOI: 10.1098/rsif.2015.0045
Winter semester 2017–2018 — notes
Notes from the introductory meeting:
- Questions and remarks concerning the study of mathematical modelling should be sent to:
- Milan Pokorný (PhD study programme, pokorny@karlin.mff.cuni.cz),
- Josef Málek (MSc study programme, mathematics, malek@karlin.mff.cuni.cz),
- Vít Průša (MSc study programme, mathematics, prusv@karlin.mff.cuni.cz),
- Martin Čížek (MSc study programme, physics, cizek@mbox.troja.mff.cuni.cz).
If you are not sure who do you want to talk to, please contact Vít Průša (prusv@karlin.mff.cuni.cz).
- Check mathematical modelling webpages on regular basis. Subscribe to our maling list.
- The most important decision you are going to make in the course of your study is the choice of the topic of your bachelor/master thesis. Deadline for the choice of bachelor thesis topic is 3rd November 2017, choice of master thesis topic must be made no later than on 16th February 2017, see the academic calendar. However, we strongly recommend to chose your master thesis topic at your earliest convenince. In general, the sooner your choose the topic, the sooner you can start working. Note that you are requested to present the topic/results already in the summer semester in the seminar Selected problems in mathematical modelling. If necessary, we will organise a special meeting where we will informally talk about the possible topics, and eventually we will together find a topic that fits your needs. If you are interested in such a meeting, please let us know. (Send email to prusv@karlin.mff.cuni.cz, Vít Průša.)
- Consider membership in SIAM (Society for Industrial and Applied Mathematics) Student Chapter Prague.
- Be active. Send your bachelor-master thesis to Soutěže studentů vysokých škol ve vědecké činnosti v matematice (SVOČ, Competition of university students in mathematics). Try to collaborate with people in the mathematical modelling group.
- Think of studying abroad (ERASMUS, summer schools and so forth). Faculty coordinator of the ERASMUS programme is Ondřej Pangrác (Ondrej.Pangrac@mff.cuni.cz). All the questions concerning the programme administration — which form should you fill and when you are supposed to do it — should be sent to him, we are really not very good in answering such questions. We can, however, help you with question of scientific nature, such as which university is the best choice regarding your interests.
- Most of the optional lectures start in the second week of the semester, please be in contact with the lecturers, they will keep you informed. Some invitations to optional lectures are displayed on our webpages, see below.
- Several scientific seminars are running at the School of Mathematics and across the university. If you are interested, please attend them. Programme of some seminars is shown in the calendar on our webpages.
- As always, we are going to organise an informal meeting with students and people related to the mathematical modelling group. (Meaning that we will go together to a pub.) Check mathematical modelling webpages on regular basis, we will post the date, time and place as soon as possible. (So far, the preliminary date of the event is 17th October.)
- Mathematical modelling group members are co-organising, under the auspices of the European Mathematical Society, a traditional summer school Mathematical Modelling, Numerical Analysis and Scientific Computing. If you want to participate in that school, please let us know.
We wish you a successful and inspiring study!
Modelling of materials – theory, model reduction and efficient numerical methods: talk by Vojtěch Kulvajt
The talk Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range, by Vojtěch Kulvajt will be held on Monday October 2, 2017 at 9:00 in room K3.
Winter semester 2017/2018 — opening meeting
Dear students, Dear colleagues,
Opening meeting of all students of mathematical modelling (fixing the schedule for optional lectures, brief discussion on topics of bachelor/master thesis, overview of available scholarships/projects/stays abroad and so on) will take place on Tuesday, October 3, immediately after the lecture on Continuum mechanics. This means that we will meet on Tuesday, October 3 at 18:50 in the lecture room K9. We kindly ask all students to participate in the meeting.
If you want to stay in touch with us, please subscribe to our weekly email digest/newsletter.
PhD positions — Università di Pisa, group of Luigi Carlo Berselli
Professor Luigi C. Berselli asked us to inform you that Università di Pisa opens a call for PhD positions. Details are available on http://dottorato.unipi.it/index.php/it/concorsi-d-ammissione-a-a-2017-2018.html. Deadline for applications is on 19th July 2017.
If you are interested, please let us know (Josef Málek, malek@karlin.mff.cuni.cz).
Modelářský výlet — 17. května 2017
zveme Vás, Vaše kamarády, manželky, psy i kočárky na každoroční modelářský výlet, tentokrát na trase:Čimice – Přívoz Sedlec – Únětice
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Datum: středa 17. května 2017 (rektorský den)
Sraz: Kobylisy, zastávka autobusu č. 145/152 směr Sídliště Čimice v 9:00
Trasa by měla být schůdná pro kočárky, vede přes přívoz a končí v Pivovarské restauraci Únětický pivovar (Rýznerova 19/5, Únětice).
http://siam.cuni.cz/cs/events/event/187
http://mod.karlin.mff.cuni.cz/
Workshops at International Centre for Mechanical Sciences (CISM)
Do you want to learn something new? Check out the website of International Centre for Mechanical Sciences.
If you are interested in some of the workshops, we might provide you some of support. Please contact us (Josef Málek, malek@karlin.mff.cuni.cz) as soon as possible.
Workshops at Centre Européen de Calcul Atomique et Moléculaire
Do you want to learn something new? Check out the website of Centre Européen de Calcul Atomique et Moléculaire.
If you are interested in some of the workshops, we might provide you some of support. Please contact us (Josef Málek, malek@karlin.mff.cuni.cz) as soon as possible.