D. Serre, L 1 decay and the stability of the shock profiles (1998)

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Stability of Relaxation Rarefaction Profiles - Liu   (Correct)

....(1.3) The system (1. 1) is an example of a class of relaxation systems proposed by Jin and Xin [3] The formulation of the subcharacteristic condition in this way is to ensure the global existence of the solution (u; v) as well as the L 1 contraction property, see Natalini [10] as well as Serre [5]. The purpose of this paper is to show the large time behavior of solutions and measure the decay rate to the large time wave profiles. The asymptotic behavior as t 1 of the solutions to (1.1) 1.2) is clearly related to that of the Riemann problem for the equilibrium conservation law: r t ....

D. Serre, L 1 decay and the stability of the shock profiles (1998)

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