# An application of compensated compactness on quasilinear hyperbolic systems

An application of compensated compactness on quasilinear hyperbolic systems In this paper, we study the following Cauchy problem $$\left\{ {\begin{array}{*{20}c} {u_t - f(v)_x = 0,v_t - g(u)_x = 0,} \\ {t = 0:u = u_0 (x),v = v_0 (x),} \\ \end{array} } \right.$$ and obtain the convergence ofL ∞ bounded approximating sequences generated by the method of vanishing viscosity and compensated compactness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

# An application of compensated compactness on quasilinear hyperbolic systems

, Volume 12 (4) – Jul 16, 2005
7 pages

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Publisher
Springer Journals
Copyright © 1996 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02029068
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we study the following Cauchy problem $$\left\{ {\begin{array}{*{20}c} {u_t - f(v)_x = 0,v_t - g(u)_x = 0,} \\ {t = 0:u = u_0 (x),v = v_0 (x),} \\ \end{array} } \right.$$ and obtain the convergence ofL ∞ bounded approximating sequences generated by the method of vanishing viscosity and compensated compactness.

### Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 16, 2005

### References

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