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＜電子ブック＞
Well-Posed Nonlinear Problems : A Study of Mathematical Models of Contact / by Mircea Sofonea
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 50)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XVIII, 405 p. 15 illus., 1 illus. in color : online resource
著者標目	*Sofonea, Mircea author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical models LCSH:Operator theory LCSH:Mechanics, Applied LCSH:Solids LCSH:Differential equations FREE:Calculus of Variations and Optimization FREE:Mathematical Modeling and Industrial Mathematics FREE:Operator Theory FREE:Solid Mechanics FREE:Differential Equations
一般注記	Part I An Abstract Well-posedness Concept -- Nonlinear Problems and Their Solvability -- Tykhonov Triples and Associate Well-posedness Concept -- Part II Relevant Examples of Well-posed Problems -- Fixed Point Problems -- Variational Inequalities -- Variational-hemivariational Inequalities -- Inclusions and Sweeping Processes -- Optimal Control and Optimization -- Part III Well-posed Contact Problems -- Preliminaries of Contact Mechanics -- Well-posed Static Contact Problems. Well-posed Quasistatic Contact Problems This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research HTTP:URL=https://doi.org/10.1007/978-3-031-41416-9

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