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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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Seminarium Zakładu Równań Fizyki Matematycznej

Cotygodniowe seminarium badawcze


Prowadzący

Sala

5070

Lista referatów

  • 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...

  • 2018-10-11, godz. 12:30, 5070

    Iwona Chlebicka (Uniwersytet Warszawski (MIM))

    Zagadnienie gęstość funkcji gładkich w przestrzeniach Musielaka-Orlicza i jego konsekwencje w równaniach różniczkowych

    Na podstawie [0] opowiem o zjawisku Ławrentiewa w przestrzeniach Musielaka-Orlicza oraz o pewnych konsekwencjach, jakie ono niesie w teorii istnienia dla równań eliptycznych i parabolicznych bez typowych (dla przestrzeni Orlicza) warunków wzrostu na wiodącą część operatora (cf. ...

  • 2018-10-04, godz. 12:30, 5070

    Anna Zatorska-Goldstein (Uniwersytet Warszawski (MIM))

    Stacjonarne zagadnienie przepływu ciepła na niżej wymiarowych zbiorach prostowalnych w $R^N$

    I will discuss an elementary linear elliptic equation on a lower dimensional rectifiable structure in $R^N$ with Neumann boundary data. The set may be described by means of a finite Borel measure µ supported on it. This allows us to reformulate the equation and the boundary condition and to es...

  • 2018-06-07, godz. 12:30, 5070

    (Uniwersytet Warszawski (MIM))

    Variational Problems in Optical Engineering and Free Material Design

    Uczestników seminarium serdecznie zapraszamy na wykłady w IM PAN, Śniadeckich 8, Warszawa, w ramach konferencji   "Variational Problems in Optical Engineering and Free Material Design" (org. P.Rybka, A.Sabra).   https://www.impan.pl/en/activities/banach-cent...

  • 2018-05-24, godz. 12:30, 5070

    Emil Wiedemann (University of Hannover)

    Regularity and Conserved Quantities: Some Recent Developments

    Evolution equations with a physical background always come with one or several conserved quantities, like the energy. However, when the solution and/or the coefficients are sufficiently irregular, the conservation law may break down, and the question arises precisely what regularity is needed to gua...

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