Mathematical Theory of Compressible Viscous Fluids: Analysis and Numerics

0466780 - MÚ 2017 RIV CH eng B - Monography
Feireisl, Eduard - Karper, T. - Pokorný, M.
Mathematical Theory of Compressible Viscous Fluids: Analysis and Numerics.
1. - Cham: Springer, 2016. 186 s. Advances in Mathematical Fluid Mechanics. ISBN 978-3-319-44834-3. ISSN 2297-0320
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : compressible viscous fluid * mathematical analysis * numerical analysis
Subject RIV: BA - General Mathematics
http://link.springer.com/book/10.1007/978-3-319-44835-0

This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution – by exploring in detail the “synergy” of analytical and numerical methods – the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general.
Permanent Link: http://hdl.handle.net/11104/0265016