Organisors of the seminar: Eduard Feireisl, Prague, David Gérard-Varet, Paris, Rupert Klein, Berlin, Antonin Novotny, Toulon
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
 G. K. Batchelor. An introduction to fluid dynamics. Cambridge University Press, Cambridge, 1967.
 E. Feireisl and A. Novotný. Singular limits in thermodynamics of viscous fluids. Birkhäuser-Verlag, Basel, 2009.
 D. Gerard-Varet. Formal derivation of boundary layers in fluid mechanics. J. Math. Fluid Mech., 7(2):179–200, 2005.
 D. Gérard-Varet and N. Masmoudi. Homogenization and boundary layers. Acta Math., 209(1):133–178, 2012.
 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.
 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.
 N. Masmoudi. Examples of singular limits in hydrodynamics. In Handbook of Differential Equations, III, C. Dafermos, E. Feireisl Eds., Elsevier, Amsterdam, 2006.
Under the name Equadiff , two series of important international conferences on differential equations have been organized every two years alternatively in Eastern and Western Europe over the last few decades. The conference is devoted to all mathematical aspects of differential equations. The central themes are: Ordinary differential equations, Partial differential equations, Calculus of variations, Stochastic differential equations, Differential inclusions, Dynamical systems, Numerical analysis, Applications
The Equadiff 13 conference will take place at the Faculty of Arts, Charles University in Prague, Czech Republic, from August 26–30, 2013, and is jointly organized by: Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague, Faculty of Civil Engineering, Czech Technical University in Prague, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Faculty of Mathematics and Physics, Charles University in Prague, Faculty of Arts, Charles University in Prague