The seminar will take place on Monday, March 19, 2018 at 9:00 am in K4. Erika Maringová will give a lecture “Up to the boundary Lipschitz regularity for variational problems”.
Abstract: We prove the existence of a regular solution to a wide class of convex, variational integrals. Via technique of construction of the barriers we show that the solution is Lipschitz up to the boundary. For the linear growth case , we identify the necessary and sufficient condition to existence of solution; in the case of superlinear growth , we provide the sufficient one. The result is not restricted to any geometrical assumption on the domain, only its regularity plays the role. The talk will be based on two works,
 L. Beck, M. Bulíček, and E. Maringová. Globally Lipschitz minimizers for variational problems with linear growth, accepted to ESAIM: COCV in 2017.
 M. Bulíček, E. Maringová, B. Stroffolini and A. Verde. A boundary regularity result for minimizers of variational integrals with nonstandard growth, accepted to Nonlinear Analysis in 2018.
Dear students, we are forwarding an email concerning two PhD position at WIAS.
I would like to draw your attention to the opening of 2 PhD-positions to be filled as soon as possible
in the Weierstraß Group “Modeling, Analysis & Scaling Limits for Bulk-Interface Processes”
at WIAS Berlin.
Please find here the link to the call with the job offers:
Application is open till March 23, 2018.
Please feel free to forward the information to interested students and possible candidates.
With best regards from WIAS,
Dr. Marita Thomas
für Angewandte Analysis und Stochastik
Leibniz-Institut im Forschungsverbund Berlin e. V.
Tel.: +49(0)30 20372 305
Fax: +49(0)30 2044975
The seminar will take place on Monday, March 5, 2018 at 9:00 am in K4. Tomáš Los will give a lecture “On three-dimensional flows of internal pore pressure activated Bingham fluids”.
Abstract: We are concerned with a system of partial differential equations describing internal flows of homogeneous incompressible fluids of Bingham type with activated boundary conditions.The Bingham activation threshold depends on internal pore pressure in the material, which is governed by an advection-diffusion equation. This model may be suitable for description of certain class of granular water-saturated materials. By suitably extending recent approaches by Chupin and Math ́e and Bulíček and Málek (see also a closely related work by Maringova and Zabensky), we prove long time and large data existence of weak solutions.
This is a joint work with A. Abbatiello, J. Málek, and O. Souček.
Prof. Richard M. Stratt will give Strouhal´s lecture. Please see the attached leaflet for details.
Let me share a link to an interesting workshop on partial differential equations.
Dear professors, colleagues, students, and friends,
We would like to announce the next event in our series of AANMPDE workshops,
‘Analysis and Advanced Numerical Methods for Partial Differential Equations (not only) for Junior Scientists 2018 (AANMPDE 11)’
in Särkisaari, Finland during August 6-10, 2018, see http://www.mit.jyu.fi/scoma/AANMPDE11/.
As usual, our intention is to provide a workshop with a friendly atmosphere and lots of interesting scientific talks and discussions. Participation and talks of ‘juniors’ such as phd students are very welcome! Black/white-board talks as well as presentations with projector are possible.
You are cordially invited to participate!
Please feel free to forward this mail to colleagues and students.
Best regards from Jyväskylä and hope to see you this year in Särkisaari,
The seminar will take place on Monday, March 5, 2018 at 9:00 am in K4. Anna Abbatiello will give a lecture “On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index”.
Abstract: Steady flows of an incompressible synovial fluid are described by a coupled system, consisting of the generalized Navier – Stokes equations and convection – diffusion equation with diffusivity dependent on the concentration and the shear rate. Cauchy stress behaves like power-law fluid with the exponent depending on the concentration. It makes the problem much more difficult than the standard model for power-law fluid in the analysis of the system of PDEs, since the variable exponent space W1,p(x) is a priori unknown. We investigate the question of the existence of a classical solution for the two dimensional periodic case.
This is a joint work with M. Bulíček and P. Kaplický.
 A. Abbatiello, M. Bulíček and P. Kaplický, On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index, forthcoming.
Martin Hanek will give a lecture on Parallel Domain Decomposition Solver for Flows in Hydrostatic Bearings. The lecture will take place in K2 on Monday 26th February from 12:15. (The lecture is a part of student’s seminar Selected problems in mathematical modelling.)
The seminar will take place on Monday, February 26, 2018 at 9:00 am in K4. Prof. Zdeněk Strakoš will continue with the lecture “Decomposition into subspaces and operator preconditioning”.
Abstract: We will consider linear equations in the abstract infinite-dimensional Hilbert space setting with bounded, coercive and self-adjoint operators, which can represent, e.g., boundary value problems formulated via partial differential equations.
Efficient numerical solution procedures often incorporate transformation of the original problem using preconditioning. Motivated, in particular, by the works of Faber, Manteuffel, Parter, Oswald, Dahmen, Kunoth and Rude published in the early 90’s, we will present an abstract formulation of operator preconditioning based on the idea of decomposition of a Hilbert space into a finite number of (infinite-dimensional) subspaces, by formulating the main results using the concepts of norm equivalence and spectral equivalence of infinite-dimensional operators. Its goal is to describe in a concise way the common principles behind various adaptive multilevel and domain decomposition techniques using infinite-dimensional function spaces.
On Monday, February 19, at 1:10 pm, we will meet in the lecture room K2 at a short meeting on the occasion of the beginning of the summer semester.
- Summer semester schedule.
- Organization of the seminar Selected problems of mathematical modeling (diploma seminar), in which students of the first and second year present their diploma theses.
- Invitations to interesting lectures in the summer semester.
- Invitations to interesting events in 2018.
- Selection of topics of diploma/bachelor’s theses.
Seminar Selected issues of mathematical modeling will not take place on Monday, February 19th!
The following seminar will be held at the lecture room K4 on Monday, March 26, 2018 at 9:00. Everyone is cordially invited.
High order numerical methods
for hyperbolic equations
Division of Applied Mathematics
Providence, RI 02912
Hyperbolic equations are used extensively in applications
including fluid dynamics, astrophysics, electro-magnetism,
semi-conductor devices, and biological sciences. High order
accurate numerical methods are efficient for solving such
partial differential equations, however they are difficult
to design because solutions may contain discontinuities.
In this talk we will survey several types of high order
numerical methods for such problems, including weighted
essentially non-oscillatory (WENO) finite difference and
finite volume methods, discontinuous Galerkin finite element
methods, and spectral methods. We will discuss essential
ingredients, properties and relative advantages of each
method, and provide comparisons among these methods. Recent
development and applications of these methods will also be