Sixth Paseky SchoolMATHEMATICAL THEORY IN FLUID MECHANICS
PASEKY (Czech Republic)


Advances in Mathematical Fluid Mechanics
Lecture notes of the sixth international school "Mathematical theory in fluid mechanics", Paseky, Czech Republic, Sept. 1925, 1999,
Springer Verlag, BerlinHeidelbergNew York
Recommended Price DM 129, (Paperback) 

DescriptionThis book consists of six survey contributions, focusing on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The following topics are studied intensively within the book: global in time qualitative properties of solutions to compressible fluid models; fluid mechanics limits, as compressibleincompressible, kineticmacroscopic, viscousinviscid; adaptive NavierStokes solver via wavelets; wellposedness of the evolutionary NavierStokes equations in 3D; existence theory for the incompressible NavierStokes equations in exterior and aperture domains. All six articles present significant results and provide a better understanding of the problems in areas that enjoy longlasting attention of researchers dealing with fluid mechanics PDEs. Although the papers have the character of detailed summaries, their central parts contain the newest results achieved by the authors who are experts in the topics they present. Keywords: NavierStokes equations, incompressible and compressible fluid models, solvability, fluid models limit, wavelet solver. MSC (2000): 76xx, 7606, 35Qxx, 65Mxx, 65Nxx 
ContentsPreface
Marco Cannone (pp. 134)
Eduard Feireisl (pp. 3566)
Michael Griebel, Frank Koster (pp. 67118)
Nader Masmoudi (pp. 119158)
Serguei Nazarov (pp. 159191)
Athanasios E Tzavaras (pp. 192222) 
