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23.11.2014 - 29.11.2014
program
poster

Oberwolfach Seminar: Analysis of Compressible Navier Stokes Equations and Related Topics

- MFO Oberwolfach, Germany
- Organisors of the seminar: Eduard Feireisl, Prague, David Gérard-Varet, Paris, Rupert Klein, Berlin, Antonin Novotny, Toulon

Programme:

The main goal of the proposed Seminar is to present and discuss the state of the art of the mathematical theory of complete fluid systems, with the emphasis put on the underlying thermodynamical principles. Highlighting the new emerging trends we aim to inspire young researchers in their future activities. The Seminar activities will be initiated by a series of tutorial courses focused on the following topics:

• Fundamental problems of well-posedness and stability of the systems of partial differential equations arising in the modeling of compressible, viscous, and/or heat conducting fluids. Several concepts of weak solutions, admissibility criteria, weak formulation based on the laws of thermodynamics.

• Multiscale analysis of complete fluid systems, dependence on the shape of physical domains, the role of boundary conditions.

• Asymptotic behavior of solutions, their qualitative properties, singular limits

Literature:

[1] G. K. Batchelor. An introduction to fluid dynamics. Cambridge University Press, Cambridge, 1967.

[2] E. Feireisl and A. Novotný. Singular limits in thermodynamics of viscous fluids. Birkhäuser-Verlag, Basel, 2009.

[3] D. Gerard-Varet. Formal derivation of boundary layers in fluid mechanics. J. Math. Fluid Mech., 7(2):179–200, 2005.

[4] D. Gérard-Varet and N. Masmoudi. Homogenization and boundary layers. Acta Math., 209(1):133–178, 2012.

[5] R. Klein. Scale-dependent models for atmospheric flows. In Annual review of fluid mechanics. Vol. 42, Annu. Rev. Fluid. Mech., pages 249–274. Annual Reviews, Palo Alto, CA, 2010.

[6] R. Klein, N. Botta, T. Schneider, C.D. Munz, S. Roller, A. Meister, L. Hoffmann, and T. Sonar. Asymptotic adaptive methods for multiscale problems in fluid mechanics. J. Engrg. Math., 39:261–343, 2001.

[7] N. Masmoudi. Examples of singular limits in hydrodynamics. In Handbook of Differential Equations, III, C. Dafermos, E. Feireisl Eds., Elsevier, Amsterdam, 2006. - Eduard Feireisl, David Gérard-Varet, Rupert KLein, Antonin Novotny Prague, Paris, Berlin, Toulon
- Wellcome session, Schedule of the seminar
- 00.00.2012 00.00.2012 20:30

Programme 23.11 see program 24.11 25.11 26.11 27.11 28.11

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