Variational Inequalities with Applications

This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. The book treats almost entirely VIs of the second kind. Much of the material is state-of-the-art.

Organization of the book into 4 parts makes it easy to concentrate on the topics Presentation is very clear, easy to follow, and well-referenced Presents the essentials of the theory of VIs and its applications to a class of interesting problems in contact mechanics Includes supplementary material: sn.pub/extras

Inhalt
Background on Functional Analysis.- Preliminaries.- Function Spaces.- Variational Inequalities.- Elliptic Variational Inequalities.- Evolutionary Variational Inequalities with Viscosity.- Evolutionary Variational Inequalities.- Volterra-type Variational Inequalities.- Background on Contact Mechanics.- Modeling of Contact Processes.- Antiplane Shear.- Antiplane Frictional Contact Problems.- Elastic Problems.- Viscoelastic Problems with Short Memory.- Viscoelastic Problems with Long Memory.