| 書目名稱 | Explosive Instabilities in Mechanics | | 編輯 | Brian Straughan | | 視頻video | http://file.papertrans.cn/320/319702/319702.mp4 | | 概述 | This is the first book that deals with the blow-up-problem for solutions of PDEs in a wide range of applications to mechanics, biology etc. | | 圖書封面 |  | | 描述 | The subject of blow-up in a finite time, or at least very rapid growth, of a solution to a partial differential equation has been an area of intense re- search activity in mathematics. Some ofthe early techniques and results were discussed in the monograph by Payne (1975) and in my earlier monograph, Straughan (1982). Relatively recent accounts of blow-up work in partial dif- ferential equations may be found in the review by Levine (1990) and in the book by Samarskii et al. (1994). It is becoming increasingly clear that very rapid instabilities and, indeed, finite time blow-up are being witnessed also in problems in applied mathematics and mechanics. Also in vogue in the mathematical literature are studies of blow-up in systems of partial differen- tial equations, partial differential equations with non-linear convection terms, and systems of partial differential equations which contain convection terms. Such equations are often derived from models of mundane situations in real life. This book is an account of these topics in a selection of areas of applied mathematics which either I have worked in or I find particularly interesting and deem relevant to be included in such an expos | | 出版日期 | Book 1998 | | 關(guān)鍵詞 | dynamics; finite element method; finite elements; instability; mechanics; stability; stress | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-58807-5 | | isbn_softcover | 978-3-642-63740-7 | | isbn_ebook | 978-3-642-58807-5 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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