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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

  • 2017-10-19, godz. 12:30, 5070

    Seminarium ZRFM w dn. 19.10.2017r z powodu choroby prelegenta zostaje odwołane

  • 2017-10-12, godz. 12:30, 5070

    Wojciech Górny (Uniwersytet Warszawski (MIM))

    (Non)uniqueness of minimizers in the least gradient problem

    In the least gradient problem with continuous boundary data it is well known that a minimizer exists and is unique. If we relax this assumption, then in many cases we recover existence of minimizers, but even the simplest examples show that uniqueness fails. In this talk, I will discuss this issue a...

  • 2017-10-05, godz. 12:30, 5070

    Grzegorz Łukaszewicz (Uniwersytet Warszawski (MIM))

    Micropolar meets newtonian. The Rayleigh-Bénard convection

    We consider the Rayleigh–Bénard problem for the two-dimensional Boussinesq system for the micropolar fluid. Our main goal is to compare the estimates of the Nusselt number, critical Rayleigh number, and the fractal dimension of the global attractor with that for the same problem for the...

  • 2017-06-08, godz. 12:30, 4060

    Cristian E. Gutierrez (Temple University Philadelphia, PA)

    On the numerical solution of the far field refractor problem

    I will show an algorithm to construct far field one source refractors with arbitrary precision. The ideas originate in the work of Caffarelli, Kochengin and Oliker developed in the context of far field point source global reflectors. For our refraction problem, we are able to simplify and extend the...

  • 2017-06-01, godz. 12:30, 4060

    Iwona Skrzypczak (Uniwersytet Warszawski (MIM))

    Renormalized solutions to nonlinear problems in the generalized Musielak-Orlicz spaces

    I will discuss the recent results on exitence of renormalized solutions to strongly nonlinear problems with L^1-data. Unlike other studies, we are able to consider the minimal growth conditions (prescribed by any anisotropic and nonhomogeneous Orlicz function), imposing instead constraints on the re...

  • 2017-05-25, godz. 12:30, 4060

    Tomasz Piasecki (Uniwersytet Warszawski (MIM))

    On the stationary flow of a reactive gaseous mixture

    We are interested in a system of equations describing stationary flow of a mixture of gases undergoing reversible chemical reactions. The system consists of the stationary compressible Navier-Stokes-Fourier equations coupled with reaction-diffusion equations describing balance of fractional masses.I...

  • 2017-05-18, godz. 12:30, 4060

    Tokinaga Namba (University of Tokyo)

    Well-posedness of Hamilton-Jacobi equations with Caputo’s time-fractional derivative

    For the diffusion phenomena of substances in the domain with a fractal structure, it has been confirmed through experiments that it is better to consider diffusion equations replaced the integer order time derivatives with Caputo’s time-fractional derivatives than normal equations. Such equati...

  • 2017-05-11, godz. 12:30, 4060

    Mahdi Boukrouche (Jean Monnet University)

    3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition

    We consider a mathematical model which describes the motion of a 3D unsteady fluid flow governed by Navier-Stokes system, and subjected to mixed boundary conditions with a given velocity on one part of the boundary and nonlinear slip conditions with a memory term reminiscent of Coulomb’s frict...

  • 2017-05-04, godz. 12:30, 4060

    Jakub Siemianowski (Uniwersytet Mikołaja Kopernika w Toruniu)

    The global attractor for weak and strong solutions of 2D thermomicropolar fluid flow

    We present the notion of the weak and strong solutions of 2D thermomicropolar fluid equations. We show that there is a problem in showing the uniqueness of weak solutions. Nevertheless, we will examine the multivalued semiflow for weak solutions and  the semiflow for strong solutions, and prove...

  • 2017-04-27, godz. 12:30, 4060

    Krzysztof Mizerski (Instytut Geofizyki PAN)

    Convection in Navier-Stokes equations

    Two funadamental approximations of the full set of the Navier-Stokes equations, i.e. for the mass conservation law, the momentum balance and the energy equation will be derived for convective systems. All the assumptios will be discussed and physical and mathematical relations between both approache...

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