| 书目名称 | Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations | | 编辑 | P.L. Sachdev,Ch.‘Srinivasa Rao | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .A large number of physical phenomena are modeled by nonlinear partial..differential equations, subject to appropriate initial/ boundary conditions; these..equations, in general, do not admit exact solution. The present monograph gives..constructive mathematical techniques which bring out large time behavior of..solutions of these model equations. These approaches, in conjunction with modern..computational methods, help solve physical problems in a satisfactory manner. The..asymptotic methods dealt with here include self-similarity, balancing argument,..and matched asymptotic expansions. The physical models discussed in some detail..here relate to porous media equation, heat equation with absorption, generalized..Fisher‘s equation, Burgers equation and its generalizations. A chapter each is..devoted to nonlinear diffusion and fluid mechanics. The present book will be found..useful by applied mathematicians, physicists, engineers and biologists, and would..considerably help understand diverse natural phenomena.. | | 出版日期 | Book 2010 | | 关键词 | Asymptotic; Differential; Equations; Nonlinear; Partial; fluid mechanics; linear optimization; partial diff | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-87809-6 | | isbn_softcover | 978-1-4614-2490-1 | | isbn_ebook | 978-0-387-87809-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag New York 2010 |
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发表于 2025-3-21 19:57:32
