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Well-Posed Nonlinear Problems A Study of Mathematical Models of Contact

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. Thi...

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Bibliographic Details
Main Author: Sofonea, Mircea
Format: eBook
Language:English
Published: Cham Birkhäuser 2023, 2023
Edition:1st ed. 2023
Series:Advances in Mechanics and Mathematics
Subjects:
Mechanics, Applied
Calculus Of Variations And Optimization
Solids
Operator Theory
Solid Mechanics
Mathematical Modeling And Industrial Mathematics
Differential Equations
Mathematical Optimization
Calculus Of Variations
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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