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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

  • 2019-04-25, godz. 12:30, 5070

    José Carlos Bellido Guerrero (Universidad de Castilla - La Mancha)

    A fractional model of hyperelasticity.

    Elastic materials are those that deform under the action of an applied force and recover their original configuration when the load stops acting. When the elastic potential energy can be modeled as a variational principle we call then hyperplastic materials, and it is the nat...

  • 2019-04-24, godz. 14:15, 4050

    Adam Prosiński (Oxford University)

    Calculus of variations in the anisotropic setting.

    In this talk, we will review some recent results concerning existence and regularity of minimizers of anisotropic variational problems. The anisotropy that we have in mind concerns different orders of derivation in different directions, thus we work with differential operators that need not be ho...

  • 2019-04-11, godz. 12:30, 5070

    Michał Łasica (MIM)

    Total variation flow of curves in Riemannian manifolds

    Let N be a complete Riemannian manifold. We consider the functional of total variation defined on maps from an interval I into N. This is a relaxation with respect to L2 topology on I of the length functional defined on parametrized curves. We investigate well-posedness of the steepest descent fl...

  • 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 ...

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