| 书目名称 | Variational Approach to Hyperbolic Free Boundary Problems |
| 编辑 | Seiro Omata,Karel Svadlenka,Elliott Ginder |
| 视频video | |
| 概述 | Points out a new direction in the analysis of hyperbolic free boundary problems with variational structure.Treats a range of increasingly difficult problems to gradually introduce a variational approa |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 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. . |
| 出版日期 | Book 2022 |
| 关键词 | free boundary problem; hyperbolic type equation; variational method; numerical computationfunctional; fu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-19-6731-3 |
| isbn_softcover | 978-981-19-6730-6 |
| isbn_ebook | 978-981-19-6731-3Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 19:02:22
