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Nonlinear Stability of Shock Waves for Viscous Conservation Laws is written by Tai-Ping Liu and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821823299 (ISBN 10) and 9780821823293 (ISBN 13).
In this paper we establish the nonlinear stability of shock waves for viscous conservation laws. It is shown that when the initial data is a perturbation of viscous shock waves, then the solution converges to viscous shock waves, properly translated, as time tends to infinity.