书目名称 | Numerical Analysis of Compressible Fluid Flows |
编辑 | Eduard Feireisl,Mária Lukáčová-Medviďová,Bangwei S |
视频video | http://file.papertrans.cn/669/668941/668941.mp4 |
概述 | This is the first monograph on the numerical analysis of oscillatory solutions to problems in fluid mechanics. It contains completely new ideas never published before.An effective way of computation o |
丛书名称 | MS&A |
图书封面 |  |
描述 | .This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists..The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments..Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.. |
出版日期 | Book 2021 |
关键词 | compressible fluid flow; numerical analysis; measure-valued solutions; K-convergence; fluid mechanics |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-73788-7 |
isbn_softcover | 978-3-030-73790-0 |
isbn_ebook | 978-3-030-73788-7Series ISSN 2037-5255 Series E-ISSN 2037-5263 |
issn_series | 2037-5255 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |