Shock formation for a system of conservation laws in two space dimensions
M. C. Lopes-Filho, H.J. Nussenzveig Lopes
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Agradecimentos: Research supported in part by FAPESP Grant 93/0812-0
Abstract: We study shock formation for the 2 x 2 system u1 + (u²)x + (uv)y = 0 and vt + (uv)x + (v²)y = 0. Our result is based on the argument, due to J.Keller and L.Ting [?], about the evolution along a characteristic of the compression rate of nearby characteristics. This system is one of a class...
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Abstract: We study shock formation for the 2 x 2 system u1 + (u²)x + (uv)y = 0 and vt + (uv)x + (v²)y = 0. Our result is based on the argument, due to J.Keller and L.Ting [?], 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 substitutes the usual cone at every point. Our analysis can be extended to a set of partially aligned systems satisfying a sharp algebraic constraint
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FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
93/0812-0
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Shock formation for a system of conservation laws in two space dimensions
M. C. Lopes-Filho, H.J. Nussenzveig Lopes
Shock formation for a system of conservation laws in two space dimensions
M. C. Lopes-Filho, H.J. Nussenzveig Lopes
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