Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation

Convergence of Approximate Solutions for Quasilinear Hyperbolic Conservation Laws with Relaxation

Year:    1998

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 289–300

Abstract

In this article the author considers the limiting behavior of quasilinear hyperbolic conservation laws with relaxation, particularly the zero relaxation limit. Our analysis includes the construction of suitably entropy flux pairs to deduce the L∞ estimate of the solutions, and the theory of compensated compactness is then applied to study the convergence of the approximate solutions to its Cauchy problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JPDE-5571

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 289–300

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Compensated compactness