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Titlebook: Variational Inequalities and Frictional Contact Problems; Anca Capatina Book 2014 Springer International Publishing Switzerland 2014 Banac

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发表于 2025-3-21 16:41:40 | 显示全部楼层 |阅读模式
书目名称Variational Inequalities and Frictional Contact Problems
编辑Anca Capatina
视频video
概述Presents complex information in an accessible style.Supports assertions with specific proofs.Addresses abstract results on variational and quasi-variational inequalities
丛书名称Advances in Mechanics and Mathematics
图书封面Titlebook: Variational Inequalities and Frictional Contact Problems;  Anca Capatina Book 2014 Springer International Publishing Switzerland 2014 Banac
描述.Variational Inequalities and Frictional Contact Problems. contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and well justified proofs. This approach makes the subjects accessible to mathematicians and applied mathematicians. Moreover, this part of the book can be used as an excellent background for the investigation of more general classes of variational inequalities. The abstract variational inequalities considered in this book cover the variational formulations of many static and quasi-static contact problems. Based on these abstract results, in the last part of the book, certain static and quasi-static frictional contact problems in elasticity are studied in an almost exhaustive way. The readers will find a systematic and unified exposition on classical, variational and dual formulations, existence, uniqueness and regularity results, finite element approximations and related optimal control probl
出版日期Book 2014
关键词Banach spaces; Friction; Functional analysis; Hilbert spaces; Optimal control; Variational inequalities
版次1
doihttps://doi.org/10.1007/978-3-319-10163-7
isbn_softcover978-3-319-35735-5
isbn_ebook978-3-319-10163-7Series ISSN 1571-8689 Series E-ISSN 1876-9896
issn_series 1571-8689
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 23:15:27 | 显示全部楼层
Existence and Uniqueness Resultsences among the proofs of results, we first consider elliptic variational inequalities of the first and second kind with linear and continuous operators in Hilbert space or monotone and hemicontinuous operators in Banach space. Next, we deal with elliptic quasi-variational inequalities involving mon
发表于 2025-3-22 03:25:23 | 显示全部楼层
Some Properties of Solutionsf variational inequalities of the first kind and we emphasize a property of solutions, namely a maximum principle. We illustrate it by a problem which models the flow of fluids through a porous medium and an obstacle problem. Next, using the method of the translation, local and global regularity res
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Static Problemsundation. The contact is modeled upon the well-known Signorini conditions and the friction is described by a nonlocal Coulomb friction law. The classical formulation of the model is described, and a variational formulation of the problem is derived. Under appropriate assumptions on the data, existen
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Quasistatic Problemsis modeled by the Signorini conditions. In this case, a variational formulation involves two inequalities with the simultaneous presence of the displacement field and of the velocity field. An existence result is provided and convergence results, for a space finite element approximation and an impli
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Some Properties of Solutions models the flow of fluids through a porous medium and an obstacle problem. Next, using the method of the translation, local and global regularity results of solutions of a class of variational inequalities of the second kind are derived. In the last part of this book, these results will be applied to a frictional contact problem.
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