Náhled: nadcházející 2009 2008 2007

6. 1. 2009
9:00pracovní seminář NCMM Na pracovním semináři vystoupí Miroslav Bulíček a Tomáš Bárta.
13. 1. 2009
9:00Josef Štěpán (MFF UK Praha): Stochastické reprezentace parciálních diferenciálních rovnic Abstrakt: pdf
Přednáška bude v češtině.
20. 1. 2009
9:00Mohamed Majdoub (University Tunis ElManar): Energy Critical NLS in two space dimensions We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with exponential nonlinearity

We identify subcritical, critical and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case. We also obtain a scattering result in the subcritical regime.
10:15Yutaka Terasawa (Nečas Center and Sapporo University): On Stokes operators with variable viscosity We consider a genaralization of the Stokes resolvent equation, where the constant viscosity is replaced by a general given positive function bounded from below by a positive constant. This system arises as a linearized system in several fluid mechanics problems. We prove that an associated Stokes-like operator generates an analytic semi-group and admits a bounded $ H_{\infty} $ calculus in $ L^q $ space, which implies the maximal $ L^q $ regularity of the corresponding parabolic evolution equation. The analysis is done for both bounded domains and some class of unbounded domains with boundary of low regularity.
24. 2. 2009
9:00Reinhard Farwig (Technical University Darmstadt): Global Weak Solutions of the Instationary Navier-Stokes System with Non-zero Boundary Values
10. 3. 2009
Bernard Ducomet (Universite Bruyeres, France): Asymptotics for a fluid model of neutron star, after Lattimer
31. 3. 2009
Laszlo Szekelyhidi (University of Bonn): TBA
7. 4. 2009
Vuk Milisic (Wolfgang Pauli Institute, Vienna): Multi-scale blood flow modelling for stented arteries: theoretical and numerical results Stents are medical devices designed to modify blood flow in aneurysm sacs, in order to prevent their rupture. Some of them can be considered as a locally periodic rough boundary. In order to approximate blood flow in arteries and vessels of the cardio-vascular system containing stents, we use multi-scale techniques to construct boundary layers and wall laws. Then, we investigate convergence of boundary layer approximations and the corresponding wall laws in the case of some realistic boundary conditions at the inlet and outlet parts of the domain. We derive error estimates in terms of the roughness size epsilon either in the a priori norm or in the very veak context (cf Necas). We show some numerical test validating our theoretical results.

[Změna programu možná]

Srdečně zvou organizátoři: Šárka Nečasová a Milan Pokorný.

Případná změna programu semináře bude oznámena Emilem.

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Semináře konané v MÚ AV ČR   Semináře Nečasova centra pro matematické modelování

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Last changed 17. 12. 2008, J. Stebel.