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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Variational Approach to Hyperbolic Free Boundary Problems

Variational Approach to Hyperbolic Free Boundary Problems

Omata, Seiro
Svadlenka, Karel
Ginder, Elliott

Paperback

Series: Springerbriefs in Mathematics

General Mathematics

ISBN10: 981196730X
ISBN13: 9789811967306
Publisher: Springer Nature
Published: Nov 29 2022
Pages: 94
Weight: 0.35
Height: 0.22 Width: 6.14 Depth: 9.21
Language: English
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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