A01=Christof Eck
A01=Jiri Jarusek
A01=Miroslav Krbec
advanced mathematical modeling
Anisotropic Sobolev Spaces
Anisotropic Spaces
Author_Christof Eck
Author_Jiri Jarusek
Author_Miroslav Krbec
Banach Space
besov
Besov Spaces
Bessel Potential
bilinear
Bilinear Form
boundary
boundary value problems
Category=PBW
Cone Property
Contact Problems
dynamic
Dynamic Contact Problem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
form
Fourier Analysis Approach
frictional contact analysis
functional analysis methods
Imbedding Theorems
inequality
Interpolation Theory
Korn Inequality
Lim Inf
lipschitz
Lipschitz Boundary
Lipschitz Domains
Lizorkin Triebel Spaces
mathematical elasticity
nonlinear contact mechanics research
Normed Linear Spaces
partial differential equations
Priori Estimate
Real Interpolation
shift
Signorini Condition
Signorini Contact Condition
Sobolev Spaces
spaces
Unilateral Contact Problem
variational
Variational Inequality
Product details
- ISBN 9780367393229
- Weight: 553g
- Dimensions: 152 x 229mm
- Publication Date: 19 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems without friction.
Much of this monograph emerged from the authors' research activities over the past 10 years and deals with an approach proven fruitful in many situations. Starting from thin estimates of possible solutions, this approach is based on an approximation of the problem and the proof of a moderate partial regularity of the solution to the approximate problem. This in turn makes use of the shift (or translation) technique - an important yet often overlooked tool for contact problems and other nonlinear problems with limited regularity. The authors pay careful attention to quantification and precise results to get optimal bounds in sufficient conditions for existence theorems.
Unilateral Contact Problems: Variational Methods and Existence Theorems a valuable resource for scientists involved in the analysis of contact problems and for engineers working on the numerical approximation of contact problems. Self-contained and thoroughly up to date, it presents a complete collection of the available results and techniques for the analysis of unilateral contact problems and builds the background required for further research on more complex problems in this area.
Eck, Christof; Jarusek, Jiri; Krbec, Miroslav
