Lista referatów

• 2023-06-01, godz. 12:30, 5070

  Martin Ostoja-Starzewski (University of Illinois at Urbana-Champaign, USA)

  Tensor Random Fields

  See attached file ...

  Abstract

• 2023-05-25, godz. 12:30, 5070

  Benjamin Lledos (Université Paul Sabatier, Institut de Mathématiques de Toulouse)

  Some results about the uniqueness of the solutions in the calculus of variations

  We want to find a framework in which we can establish the uniqueness of solutions for non-strictly convex problems in the calculus of variations. The main idea is to extend a method devised by Marcellini for a particular scenario. By examining various counterexamples and a simpler case, we demons...

• 2023-05-18, godz. 12:30, 5070

  Mateusz Dembny (SDNŚiS)

  Spiral vortex sheets and 2d Euler equation

  In my talk, I will introduce Prandtl's and Kaden's spirals. Prandtl's spirals are weak solutions to the 2d Euler equation and this is a result by T. Cieslak, P. Kokocki and W.S. Ozanski. We will check whether Kaden's spirals are solutions to the 2d Euler equation. Also...

• 2023-05-04, godz. 12:30, 5070

  Michał Borowski (MIMUW)

  Absence of Lavrentiev’s phenomenon and Musielak-Orlicz-Sobolev spaces

  We want to study Lavrentiev’s phenomenon for a broad class of variational functionals, covering anisotropic functionals of non-standard growth. To this purpose, we consider Musielak–Orlicz–Sobolev spaces and describe how the density of regular functions guarantees the absence of La...

• 2023-04-13, godz. 12:30, 5070

  Michał Fabisiak (doktorant SDNŚiS)

  Monokineticity and mean-field limit for strongly singular Cucker-Smale model

  Cucker-Smale model, introduced in 2007, describes the evolution of particles alligning their velocities according to nonlocal interaction protocol. We will focus on the strongly singular case and see that, under some mild assumptions, measure valued solutions to kinetic Cucker-Smale equations are in...

• 2023-03-30, godz. 12:30, 5070

  Maja Szlenk (SDNŚiS)

  A multifluid model with chemically reacting components – construction of weak solutions.

  We investigate the existence of weak solutions to the multi-component system, consisting of compressible chemically reacting components, coupled with the Stokes equation for the velocity. Specifically, we consider the case of irreversible chemical reaction and assume the nonlinear rela- tion b...

• 2023-03-23, godz. 12:30, 5070

  Markus Schmidtchen (TU Dresden)

  A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model.

  In recent years, there has been a spike in the interest in multi-phase tissue growth models. Depending on the type of tissue, the velocity is linked to the pressure through Stoke's law, Brinkman's law or Darcy's law. While each of these velocity-pressure relations has been studied in the...

• 2023-03-09, godz. 14:30, 2180

  Iwona Chlebicka (IMSIM )

  Approximation in the calculus of variations

  Typical techniques of proving regularity of minimizers to variational functionals are based on a construction of a sequence of nice solutions to auxiliary problems, that is convergent in a relevant way. If the growth of the functional is not controlled, it is possible that such a sequence does not e...

• 2023-03-02, godz. 12:30, 5070

  Stanisław Żukowski (IFT FUW UW)

  Through history to growth dynamics: deciphering the evolution of spatial networks.

  Many ramified, network-like patterns in nature, such as river networks or blood vessels, form as a result of unstable growth of moving boundaries in an external diffusive field. Here, we pose the inverse problem for the network growth—can the growth dynamics be inferred from the analysis of...

• 2023-02-09, godz. 12:30, 4070

  Glen Wheeler (University of Wollongong, Australia)

  Arbitrarily high order concentration-compactness for curvature flow

  We extend Struwe and Kuwert-Schaetzle's concentration-compactness method for analyzing geometric evolution equations to flows of an arbitrarily high order, with the geometric polyharmonic heat flow (GPHF) of surfaces, a generalization of surface diffusion flow, as an exemplar...

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