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Variational approach to hyperbolic f...

Omata, Seiro.

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Variational approach to hyperbolic free boundary problems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Variational approach to hyperbolic free boundary problems/ by Seiro Omata, Karel Svadlenka, Elliott Ginder.
作者:	Omata, Seiro.
其他作者:	Svadlenka, Karel.
出版者:	Singapore :Springer Nature Singapore : : 2022.,
面頁冊數:	ix, 94 p. :ill., digital ;24 cm.
內容註:	Chapter 1. Introduction -- Chapter 2.Physical motivation -- Chapter 3.Discrete Morse flow -- Chapter 4. Discrete Morse flow with free boundary -- Chapter 5.Energy-preserving discrete Morse flow -- Chapter 6.Numerical examples and applications.
Contained By:	Springer Nature eBook
標題:	Differential equations, Hyperbolic. -
電子資源:	https://doi.org/10.1007/978-981-19-6731-3
ISBN:	9789811967313

Variational approach to hyperbolic free boundary problems
Omata, Seiro.

Variational approach to hyperbolic free boundary problems[electronic resource] /by Seiro Omata, Karel Svadlenka, Elliott Ginder. - Singapore :Springer Nature Singapore :2022. - ix, 94 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

Chapter 1. Introduction -- Chapter 2.Physical motivation -- Chapter 3.Discrete Morse flow -- Chapter 4. Discrete Morse flow with free boundary -- Chapter 5.Energy-preserving discrete Morse flow -- Chapter 6.Numerical examples and applications.

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.

ISBN: 9789811967313

Standard No.: 10.1007/978-981-19-6731-3doiSubjects--Topical Terms:

560924
Differential equations, Hyperbolic.

LC Class. No.: QA377

Dewey Class. No.: 515.3535

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520 $a 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.
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