| 书目名称 | Small Viscosity and Boundary Layer Methods |
| 副标题 | Theory, Stability An |
| 编辑 | Guy Métivier |
| 视频video | |
| 概述 | Develops mathematical tools relevant to the study of multidimensional problems.Useful supplement for the study of mathematical models in the applied sciences |
| 丛书名称 | Modeling and Simulation in Science, Engineering and Technology |
| 图书封面 |  |
| 描述 | This book has evolved from lectures and graduate courses given in Brescia (Italy), Bordeaux and Toulouse (France};‘ It is intended to serve as an intro duction to the stability analysis of noncharacteristic multidimensional small viscosity boundary layers developed in (MZl]. We consider parabolic singular perturbations of hyperbolic systems L(u) - £P(u) = 0, where L is a nonlinear hyperbolic first order system and P a nonlinear spatially elliptic term. The parameter e measures the strength of the diffusive effects. With obvious reference to fluid mechanics, it is referred to as a "viscosity." The equation holds on a domain n and is supplemented by boundary conditions on an.The main goal of this book is to studythe behavior of solutions as etends to O. In the interior of the domain, the diffusive effects are negligible and the nondiffusive or inviscid equations (s = 0) are good approximations. However, the diffusive effects remain important in a small vicinity of the boundary where they induce rapid fluctuations of the solution, called layers. Boundary layers occur in many problems in physics and mechanics. They also occur in free boundary value problems, and in particular in the a |
| 出版日期 | Book 2004 |
| 关键词 | Applied Mathematics; Boundary value problem; Derivation; calculus; equation; function; mathematical physic |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-8214-9 |
| isbn_softcover | 978-1-4612-6496-5 |
| isbn_ebook | 978-0-8176-8214-9Series ISSN 2164-3679 Series E-ISSN 2164-3725 |
| issn_series | 2164-3679 |
| copyright | Springer Science+Business Media New York 2004 |
发表于 2025-3-21 17:33:31
