東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Variational approach to hyperbolic f...

Omata, Seiro.

Linked to FindBook

Google Book

Amazon

博客來

Variational approach to hyperbolic free boundary problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Variational approach to hyperbolic free boundary problems/ by Seiro Omata, Karel Svadlenka, Elliott Ginder.
Author:	Omata, Seiro.
other author:	Svadlenka, Karel.
Published:	Singapore :Springer Nature Singapore : : 2022.,
Description:	ix, 94 p. :ill., digital ;24 cm.
[NT 15003449]:	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
Subject:	Differential equations, Hyperbolic. -
Online resource:	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

Variational approach to hyperbolic free boundary problems
LDR:02210nmm a2200337 a 4500 001 2305823
003 DE-He213
005 20221128084450.0
006 m d
007 cr nn 008maaau
008 230409s2022 si s 0 eng d
020 $a 9789811967313 $q (electronic bk.)
020 $a 9789811967306 $q (paper)
024 7 $a 10.1007/978-981-19-6731-3 $2 doi
035 $a 978-981-19-6731-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.3535 $2 23
090 $a QA377 $b .O54 2022
100 1 $a Omata, Seiro. $3 3609283
245 1 0 $a Variational approach to hyperbolic free boundary problems $h [electronic resource] / $c by Seiro Omata, Karel Svadlenka, Elliott Ginder.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a ix, 94 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a 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.
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.
650 0 $a Differential equations, Hyperbolic. $3 560924
650 0 $a Boundary value problems. $3 527599
700 1 $a Svadlenka, Karel. $3 3609284
700 1 $a Ginder, Elliott. $3 3609285
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-981-19-6731-3
950 $a Mathematics and Statistics (SpringerNature-11649)