书目名称 | Mathematical Theory of Compressible Viscous Fluids |
副标题 | Analysis and Numeric |
编辑 | Eduard Feireisl,Trygve G. Karper,Milan Pokorný |
视频video | |
概述 | Introduces the reader to the mathematical theory of compressible viscous fluids.Provides the existence proof for the compressible Navier--Stokes system via a numerical scheme.Presents analytical metho |
丛书名称 | Advances in Mathematical Fluid Mechanics |
图书封面 |  |
描述 | .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. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of ma |
出版日期 | Book 2016 |
关键词 | compressible Navier-Stokes system; weak solution; well-posedness; upwind discretization; discontinuous G |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-44835-0 |
isbn_softcover | 978-3-319-44834-3 |
isbn_ebook | 978-3-319-44835-0Series ISSN 2297-0320 Series E-ISSN 2297-0339 |
issn_series | 2297-0320 |
copyright | Springer International Publishing Switzerland 2016 |