Decay of Entropy Solutions of Nonlinear Conservation Laws 32
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DECAY OF ENTROPY SOLUTIONS OF NONLINEAR CONSERVATION LAWS GUI-QIANG CHEN & HERMANO FRID Dedicated to
We are concerned with the asymptotic behavior of entropy solutions of nonlinear conservation laws. The main objective of this paper is to present an analytical approach and to explore its applications to studying the large-time behavior of periodic entropy solutions of hyperbolic conservation laws. The asymptotic decay of periodic solutions of nonlinear hyperbolic conservation laws is an import...
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Nonlinear geometric optics with various frequencies for entropy solutions only in L∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L–stability. New multidimensional features are recognized, especially including nonlinear propagations of oscilla...
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for n x n Conservation Laws Alberto Bressan and Paola Goatin S.I.S.S.A., Via Beirut 4, Trieste 34014 Italy. Abstract. Let ut + f(u)x = 0 be a strictly hyperbolic n n system of conservation laws in one space dimension. Relying on the existence of a semigroup of solutions, we rst establish the uniqueness of entropy admissible weak solutions to the Cauchy problem, under a mild assumption on the lo...
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تاریخ انتشار 1999