| 书目名称 | Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes | | 编辑 | Igor Chudinovich,Christian Constanda | | 视频video | | | 概述 | An up-to-date, concise and clearly organised treatment of an area that is growing in interest.The first book to illustrate variational methods and potential methods side by side in the study of dynami | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ? u = Au, 2 ?t 2 where u = u(x,t) is a vector-valued function, x is a point in a domain inR or 3 R,and A is a linear elliptic di?erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci?c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial di?erential equations governing the nonstationary bending of elastic plates with transverse shear deformation. The reason for our choice is twofold. On the one hand, in a certain sense this is a “hybrid” system, c- sistingofthreeequationsforthreeunknownfunctionsinonlytwoindependent variables, which makes it more unusual—and thereby more interesting to the analyst—than other systems arising in solid mechanics. On the other hand, this particular plate model has received very little attention compared to the so-called classical one, based on Kirchho?’s simplifying hypotheses, although, as acknowledge | | 出版日期 | Book 2005 | | 关键词 | Boundary integral equations; Boundary value problem; Distribution; Distributional solutions; Dynamic pro | | 版次 | 1 | | doi | https://doi.org/10.1007/b138804 | | isbn_softcover | 978-1-84996-946-8 | | isbn_ebook | 978-1-84628-120-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag London 2005 |
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发表于 2025-3-21 18:31:11
