$L\sp 1$ and $L\sp ∞$ intermediate asymptotics for scalar conservation laws

Jean Dolbeault & Miguel Escobedo
In this paper, using entropy techniques, we study the rate of convergence of non- negative solutions of a simple scalar conservation law to their asymptotic states in a weighted L1 norm. After an appropriate rescaling and for a well chosen weight, we obtain an exponential rate of convergence. Written in the original coordinates, this provides intermediate asymptotics estimates in L1, with an algebraic rate. We also prove a uniform convergence result on the support of...
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