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Variational Approach to Hyperbolic Free Boundary Problems 🔍
Seiro Omata & Karel Svadlenka & Elliott Ginder Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd, Springer Nature, Singapore, 2022
英语 [en] · EPUB · 8.5MB · 2022 · 📘 非小说类图书 · 🚀/lgli/upload · Save
描述
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.
备用文件名
lgli/1286ad2a-72a5-4e62-9b63-8fc013925989.epub
备选作者
Omata, Seiro; Svadlenka, Karel; Ginder, Elliott
备用版本
SpringerBriefs in Mathematics, 1st ed. 2022, Singapore, Singapore, 2022
备用版本
SpringerBriefs in Mathematics, 1st edition 2022, Singapore, 2022
开源日期
2025-05-26
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