Lista referatów

• 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...

• 2023-01-26, godz. 12:30, 5070

  Maria Ekiel-Jeżewska (IPPT PAN)

  Elastic microfilaments in a shear flow

  Dynamical modes of elastic filaments in a shear flow at Reynolds numbers much smaller than unity will be discussed, based on the multipole expansion of the Stokes equations. The role of buckling under compression of the flow will be outlined. Another mechanism of bending will be also presented. Exam...

• 2023-01-19, godz. 12:30, 5070

  Sadokat Malikova (SDNŚiP)

  Navier-Stokes convergence analysis

  We compare different types of obstacle approximation for the steady incompressible Navier-Stokes equations. We compare a standard penalization approximation with approximation by high viscosity in the obstacle region and composition of both methods. For all cases we provide analytica...

• 2022-12-15, godz. 12:30, 5070

  Minhyun Kim / Marvin Weidner (Universitaet Bielefeld )

  Wiener criterion for nonlocal Dirichlet problems / Regularity for nonlocal problems with non-standard growth

  MK: In this talk, we study the boundary behavior of solutions to the Dirichlet problems for nonlocal nonlinear operators. We establish a nonlocal counterpart of the Wiener criterion, which characterizes a regular boundary point in terms of the nonlocal nonlinear potential theory. This talk is based ...

• 2022-12-01, godz. 12:30, 5070

  Michał Kowalczyk (Universidad de Chile)

  Generation of vortices for the Ginzburg-Landau heat flow.

  We consider the Ginzburg-Landau heat flow on the two-dimensional flat torus, starting from an initial data with a finite number of nondegenerate zeros -- but possibly very high initial energy. We show that the initial zeros are conserved and the flow rapidly enters a logarithmic ...

• 2022-11-24, godz. 12:30, 5070

  Philipp Reiter (TU Chemnitz)

  Impermeability in nonlinear elasticity models

  Maintaining the topology of objects undergoing deformations is a crucial  aspect of elasticity models. In this talk we consider two different  settings in which impermeability is implemented via regularization by a  suitable nonlocal functional. The behavior of long slender...

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