Seiro Omata,Karel Svadlenka,Elliott Ginder
Variational Approach to Hyperbolic Free Boundary Problems
Variational Approach to Hyperbolic Free Boundary Problems
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- More about Variational Approach to Hyperbolic Free Boundary Problems
This volume is dedicated to studying hyperbolic free boundary problems with variational structure, which can model oscillatory motion and bouncing of elastic bodies. It uses semi-discretization in time to derive the mathematical problem and discuss the mathematical theory and numerical methods.
Format: Paperback / softback
Length: 94 pages
Publication date: 29 November 2022
Publisher: Springer Verlag, Singapore
This book is dedicated to the study of hyperbolic free boundary problems with variational structure, which have applications in modeling oscillatory motion of droplets on surfaces and elastic bodies bouncing against rigid obstacles. In the case of droplets, the membrane surrounding the fluid forms a positive contact angle with the obstacle, leading to a second derivative that is only a measure at the contact free boundary. We will demonstrate how to derive the mathematical problem for various physical systems starting from the action functional, discuss the mathematical theory, and introduce methods for numerical solution.
The mathematical theory and numerical methods in this book depart from classical approaches by utilizing semi-discretization in time, enabling the application of the modern theory of calculus of variations. This approach facilitates the analysis and solution of hyperbolic free boundary problems with variational structure, offering insights into complex physical phenomena and their mathematical representation.
Weight: 174g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811967306
Edition number: 1st ed. 2022
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