Analysis and Advanced Numerical Methods for Partial Differential Equations

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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,
Monika Wolfmayr

On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index: talk by Anna Abbatiello

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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.

[1] 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.

Decomposition into subspaces and operator preconditioning: talk by Zdeněk Strakoš

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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.

Beginning of the summer semester — meeting

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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.

Programme:

  1. Summer semester schedule.
  2. Organization of the seminar Selected problems of mathematical modeling (diploma seminar), in which students of the first and second year present their diploma theses.
  3. Invitations to interesting lectures in the summer semester.
  4. Invitations to interesting events in 2018.
  5. Selection of topics of diploma/bachelor’s theses.

Seminar Selected issues of mathematical modeling will not take place on Monday, February 19th!

High order numerical methods for hyperbolic equations: talk by Chi-Wang Shu

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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

Chi-Wang Shu
Division of Applied Mathematics
Brown University
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
discussed.

Decomposition into subspaces and operator preconditioning: talk by Zdeněk Strakoš

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The seminar will take place on Monday, February 19, 2018 at 9:00 am in K4. Prof. Zdeněk Strakoš will present the next part of 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.

An introduction to mathematical homogenization

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Stefan Krömer will teach an introductory course on homogenization. If you are interested, please see the details in the attached email.

I am writing to inform you about a small optional course I will be offering in Karlin in the upcoming summer term, “An introduction to mathematical homogenization” for Master or PhD students with a background in Analysis and PDEs:
https://is.cuni.cz/studium/eng/predmety/index.php?do=predmet&kod=NMMO499
The course will be held on Monday, 17:20–18:50 (after the Necas seminar, if possible I will try to move it to ~17:00-18:30, after the first lesson), in a seminar room on the third floor (next to the office of Milan Pokorny, I was told).

As this will be my first course in Karlin, I have to do my best to attract a few students, and I hope you can help me a little with advertising. In particular, please forward this to interested students you might know, or post it somewhere where people can see it.

Anyone interested should feel free to drop me an informal email, I’ll be happy to answer questions:
skroemer@utia.cas.cz

Best regards,
Stefan Krömer

Several postdoc openings at Charles University in Prague, Department of Physical and Macromolecular Chemistry

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Let me share a link concerning several postdoc positions in Prague.

Dear colleagues,

I would like to inform you about several postdoc openings at Charles University in Prague, Department of Physical and Macromolecular Chemistry.

For more details, see links to the actual open calls below:

Modeling of branched weak polyelectrolytes in solution

Association of Block-Copolymers Containing Weak Polyelectrolytes

Computational Material Science

Synthesis of Hybrid Materials

All positions are available initially for 1 year with an option of prolongation.

Please feel free to forward this e-mail to potential candidates.

With best regards,

Peter Košovan

—
Dr. Peter Košovan

Department of Physical and Macromolecular Chemistry
Faculty of Science, Charles University in Prague, Czech Republic

Katedra fyzikální a makromolekulární chemie
Přírodovědecká fakulta Univerzity Karlovy v Praze

www.natur.cuni.cz/chemistry/fyzchem/

Tel. +420221951290
Fax +420224919752

Several stat mech / soft matter postdoc vacancies in Cambridge

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Let me share a link concerning several research positions in Cambridge.

We are currently seeking several Postdoctoral Research Associates in the Soft Matter Group in Cambridge’s Department of Applied Mathematics and Theoretical Physics (DAMTP). Details are here:

http://www.jobs.cam.ac.uk/job/16528/

If you know any strong candidates, please encourage them to apply — or if you are one, please do so yourself!

Best wishes

Mike Cates

—
Michael Cates FRS
Lucasian Professor of Mathematics
and Royal Society Research Professor
DAMTP, Centre for Mathematical Sciences
University of Cambridge
CB3 0WA
United Kingdom

+44 (0)1223 337912

m.e.cates@damtp.cam.ac.uk