Advances in Mathematical Fluid Mechanics
Subtitle: Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19-26, 1999
By: edited by Josef Málek, Jindřich Nečas, Mirko Rokyta
Contributors: Nečas, Jindřich; Rokyta, M. (Mirko)
Publisher: Springer Berlin Heidelberg; Imprint; Springer
Published: 2000
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 236
ISBN-13: 9783642573088
Description: This 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 compressible-incompressible, kinetic-macroscopic, viscous-inviscid; adaptive Navier-Stokes solver via wavelets; well-posedness of the evolutionary Navier-Stokes equations in 3D; existence theory for the incompressible Navier-Stokes equations in exterior and aperture domains. All six articles present significant results and provide a better understanding of the problems in areas that enjoy long-lasting 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.
Table of contents: title: M. Cannone: Viscous Flows in Besov Spaces; title: E. Feireisl: The Dynamical Systems Approach to the Navier-Stokes Equations of Compressible Fluids; title: M. Griebel, F. Koster: Adaptive Wavelet Solvers for the Unsteady Incompressible Navier-Stokes Equations; title: N. Masmoudi: Asymptotic Problems and Compressible-Incompressible Limit; title: S.A. Nazarov: Weighted Spaces with Detached Asymptotics in Application to the Navier-Stokes Equations; title: A.E. Tzavaras: On the Mathematical Theory of Fluid Dynamic Limits to Conservation Laws.