Variational Approach to Hyperbolic Free Boundary Problems - Softcover

Omata, Seiro; Svadlenka, Karel; Ginder, Elliott

Softcover

ISBN 10: 9811967326 ISBN 13: 9789811967320

Publisher: Springer, 2022

Synopsis

This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. In the case of the droplet, for example, the membrane surrounding the fluid in general forms a positive contact angle with the obstacle, and therefore the second derivative is only a measure at the contact free boundary set. We will show how to derive the mathematical problem for a few physical systems starting from the action functional, discuss the mathematical theory, and introduce methods for its numerical solution. The mathematical theory and numerical methods depart from the classical approaches in that they are based on semi-discretization in time, which facilitates the application of the modern theory of calculus of variations. 

Edition details

• Publisher: Springer
• Publication date: 2022
• Language: English
• ISBN 10: 9811967326
• ISBN 13: 9789811967320
• Binding: Paperback
• Number of pages: 106