<電子ブック>
The Riemann Problem in Continuum Physics / by Philippe G. LeFloch, Mai Duc Thanh
(Applied Mathematical Sciences. ISSN:2196968X ; 219)
版 | 1st ed. 2023. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | XI, 403 p. 136 illus., 135 illus. in color : online resource |
著者標目 | *LeFloch, Philippe G author Thanh, Mai Duc author SpringerLink (Online service) |
件 名 | LCSH:Mathematics -- Data processing
全ての件名で検索
LCSH:Mathematical physics LCSH:Fluid mechanics FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Physics FREE:Engineering Fluid Dynamics |
一般注記 | 1 Overview of this monograph -- 2 Models arising in fluid and solid dynamics -- 3 Nonlinear hyperbolic systems of balance laws -- 4 Riemann problem for ideal fluids -- 5 Compressible fluids governed by a general equation of state -- 6 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic regime -- 7 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic-elliptic regime -- 8 Compressible fluids in a nozzle with discontinuous cross-section. Isentropic flows -- 9 Compressible fluids in a nozzle with discontinuous cross-section. General flows -- 10 Shallow water flows with discontinuous topography -- 11 Shallow water flows with temperature gradient -- 12 Baer-Nunziato model of two-phase flows -- References -- Index This monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics. It presents the state-of-the-art on the dynamics of compressible fluids and mixtures that undergo phase changes, while remaining accessible to applied mathematicians and engineers interested in shock waves, phase boundary propagation, and nozzle flows. A large selection of nonlinear hyperbolic systems is treated here, including the Saint-Venant, van der Waals, and Baer-Nunziato models. A central theme is the role of the kinetic relation for the selection of under-compressible interfaces in complex fluid flows. This book is recommended to graduate students and researchers who seek new mathematical perspectives on shock waves and phase dynamics HTTP:URL=https://doi.org/10.1007/978-3-031-42525-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783031425257 |
|
電子リソース |
|
EB00235609 |