Conférences - Calcul infinitésimal, équations différentielles et intégrales - Pologne

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1
Nonuniformly elliptic problems
05 sep 2022 - 09 sep 2022 • Będlewo, Pologne
Organisateur:
Banach Center
Résumé:
Modern theory of PDEs is centered around nonlinear problems. We concentrate on a wide class of singular and degenerate elliptic and parabolic equations with nonstandard structure. They are employed in modelling the properties of anisotropic and inhomogeneous materials, diffusion-type processes in media having nonstandard properties (including the motions of multiphased fluids in strongly inhomogeneous porous media), and in models ranging from modern material science to meteorology and image restoration. Nonuniformly elliptic problems require plenty of modern, sophisticated tools to build a suitable functional analytical setting. We want to discuss various aspects of nonstandard growth PDE, such as density of smooth functions in unconventional function spaces and optimal regularity conditions for solutions or minimizers to variational functionals and the Lavrentiev gap phenomenon. Our aim is to share the newest developments in the field.
Identifiant de l'évènement:
1495281
Sujets apparentés:
2
Noncommutative harmonic analysis and quantum groups
11 sep 2022 - 16 sep 2022 • Bedlewo, Pologne
Résumé:
The meeting will be devoted to discussing the recent discoveries joining various strands of quantum group theory and further perspectives of the field. We would like to focus especially on the developments which are connected to noncommutative harmonic analysis, connecting quantum groups with the theory of operator algebras, operator spaces and subfactors, and with the theory of tensor C*-categories.
Identifiant de l'évènement:
1485248
Sujets apparentés:
3
Numerical analysis and applications of SDEs
25 sep 2022 - 01 oct 2022 • Będlewo, Pologne
Organisateur:
Banach Center
Résumé:
This workshop is devoted to numerical analysis of stochastic ordinary and partial differential equations (SDEs for both) - a topic in which research is currently highly active. The aim of the proposed workshop is to bring together leading experts in numerical analysis of SDEs to discuss recent results and open problems and to identify future research directions.
Identifiant de l'évènement:
1495345
4
Banach Center - Oberwolfach Graduate Seminar — Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods
12 nov 2023 - 18 nov 2023 • Będlewo, Pologne
Organisateur:
Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences
Résumé:
Many physical, chemical, biomedical, and techni- cal processes can be described by means of partial differential equations or dynamical systems. In recent years, multi-physics and multi-scale prob- lems have become a particular focus of applied mathematical research. A numerical treatment of such problems is usually very time consuming and thus requires the development of efficient discret- ization schemes that are often realized on large parallel computing environments. In addition, these problems often need to be solved repeatedly for many varying parameters, introducing a curse of dimensionality when the solution is also viewed as a function of these parameters. Examples for such situations include design, control, optimiza- tion, inverse problems, uncertainty analysis and statistical sampling.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Identifiant de l'évènement:
1495275
5
Banach Center – Oberwolfach Graduate Seminar — Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice versa).
12 nov 2023 - 18 nov 2023 • Będlewo, Pologne
Organisateur:
Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences
Résumé:
Optimal transport theory is a very successful field of mathematics connecting calculus of variations, probability theory, differential geometry, partial differential equations, functional analysis, statis- tics and computer sciences. Going back to Monge around 1780, this theory has deep connections with the earlier work of Euler on Hydrodynamics around 1750. This connection has recently known a strong revival on many different sides, leading to various non trivial generalizations of the con- cept of optimal transport.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Identifiant de l'évènement:
1495307


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Dernière mise à jour: 01 Juillet 2022