Lista referatów

• 2019-03-28, godz. 12:30, 5070

  Hiroshi Wakui (Tohoku University/ Uniwersytet Wrocławski)

  Unboundedness for solutions to a degenerate drift-diffusion equation under non-weight condition

  In this talk, we consider unboundedness and concentration phenomenon of solutions to a degenerate drift-diffusion equation. We proved that solutions do not remain bounded in time when the initial data has negative free energy under a non-weight condition with the mass critical case. Moreover, we sho...

• 2019-03-21, godz. 12:30, 5070

  Wojciech Górny (doktorant MIM)

  Least gradient problem on unbounded domains

  We discuss the least gradient problem, which in dimension two is linked to the optimal transport problem, in two settings. The first   one concerns the existence of minimisers for discontinuous boundary data,   while the second one concerns new phenomena arising in the case...

• 2019-03-07, godz. 12:30, 5070

  Michał Miśkiewicz (doktorant MIM)

  Stability of singularities of minimizing harmonic maps

  Minimizing harmonic maps - i.e., maps into a fixed manifold that minimize the Dirichlet energy - are known to be smooth outside a singular set of codimension 3. Here, we consider maps into the standard sphere S2 and investigate how the singular set is affected by small perturbations of the pres...

• 2019-02-28, godz. 14:15, 5070

  Piotr Szymczak ( IFT UW)

  Evolving shapes of dissolving objects in potential flow

  If we put a dissolving object in a flow, its shape will continuously change. Tracking of the evolving shape requires the solution of coupled flow  and transport equation, in an evolving geometry around the shrinking object. Two problems of this kind will be discussed. First, we will ass...

• 2018-12-20, godz. 12:30, 5070

  Katarzyna Ryszewska (Politechnika Warszawska)

  Fractional Calculus

  In the talk I will recall definitions of fractional operators and  present some of their properties. We will look at the fractional operators in the context of semigroup  theory. We will begin with characterization of the domain of fractional  derivative in terms of fraction...

• 2018-12-13, godz. 14:30, 2180

  prof. Vaughan R. Voller (University of Minnesota)

  Anomalous diffusion: Direct simulations and fractional calculus models

  The classic hall-mark of a diffusion transport process is that the  length-scale of the spreading of a conserved quantity (heat, solute,  etc) changes with the square root of time. This phenomena is readily  observed in homogeneous materials. When appropriate heterogeneity is  pr...

• 2018-11-29, godz. 12:30, 5070

  Marcin Małogrosz (Politechnika Warszawska)

  On the regularity of the principal eigenvalue of the Schrödinger operator on bounded domains

  I will present my recent result concerning Lipschitz continuity of the principal eigenvalue of the Schrödinger operator H = - Δ + V on a bounded domain with respect to perturbations of the potential V in Lebesgue spaces. An application to linear stability analysis of stationary ...

• 2018-11-22, godz. 12:30, 5070

  Diana Barseghyan (Uniwersytet w Ostrawie)

  "Eigenvalue bounds for the magnetic Laplacians and Schroedinger operators"

  We are going to derive spectral estimates for several classes of magnetic Lapla-cians. They include the magnetic Laplacian on three-dimensional regions with Dirichlet boundary conditions as well as the magnetic Laplacian dened in R3 with the local change of the magnetic eld. We establish two-dimen...

• 2018-11-08, godz. 12:30, 5070

  Kentarou Fujie (Tokyo University of Science)

  No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system

  We deal with the fully parabolic 1d chemotaxis system with diffusion $1/(1+u)$. We prove that the above mentioned nonlinearity, despite being a natural candidate, is not critical. It means that for such a diffusion any initial condition, independently on the magnitude of mass, generates glob...

• 2018-10-25, godz. 12:30, 5070

  Jacek Polewczak (California State University)

  Some mathematical and physical problems in the kinetic theories of dense fluids

  I consider various kinetic models of inert/reacting rare/dense mixtures. In contrast to the previously considered reacting models, the microscopic reversibility (detailed balance) is built-in in the models and thus all mathematical aspects of the models can be fully justified. In the presented kin...

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