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Type: Artigo de periódico
Title: Singularity formation for a system of conservation laws in two space dimensions
Author: LopesFilho, MC
Lopes, HJN
Abstract: We study singularity formation for the 2 x 2 system u(t) + (u(2))(x) + (uv)(y) = 0 and v(t) + (uv)(x) + (v(2))(y) = 0. Our analysis is based on the argument, due to J. Keller and L. Ting (1966, Comm. Pure. Appl. Math. 19, 371-420), about the evolution along a characteristic of the compression rate of nearby characteristics. This system is one of a class of systems, called partially aligned, which exhibit a degenerate characteristic structure where a pair of directions replaces the usual cone at ever point. (C) 1996 Academic Press, Inc.
Editor: Academic Press Inc Jnl-comp Subscriptions
Rights: fechado
Identifier DOI: 10.1006/jmaa.1996.0223
Date Issue: 1996
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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