Admissible Solutions of Hyperbolic Conservation Laws

Admissible Solutions of Hyperbolic Conservation Laws
Author :
Publisher : American Mathematical Soc.
Total Pages : 86
Release :
ISBN-10 : 9780821822401
ISBN-13 : 0821822403
Rating : 4/5 (01 Downloads)

Book Synopsis Admissible Solutions of Hyperbolic Conservation Laws by : Tai-Ping Liu

Download or read book Admissible Solutions of Hyperbolic Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1981 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a system of n conservation laws: [partial derivative/boundary/degree of a polynomial symbol]∂u [over] [partial derivative/boundary/degree of a polynomial symbol]∂t + [partial derivative/boundary/degree of a polynomial symbol]∂f(u) [over] [partial derivative/boundary/degree of a polynomial symbol]∂x = 0. The system is assumed to be strictly hyperbolic, but not necessarily genuinely nonlinear in the sense of Peter Lax (Hyperbolic systems of conservation laws, 1957). Our purpose is to study the regularity, large-time behavior and the approximation of the solution of the initial-value problem. Our analysis is based on the random choice method, using the solution of the Riemann problem, as building blocks.


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