Existence of traveling waves of conservation laws with singular diffusion and nonlinear dispersion

zbMath1242.35083MaRDI QIDQ411991

Mai Duc Thanh

Publication date: 3 May 2012

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol35_2_14.html

zbMATH Keywords

LaSalle's invariance principlediffusive-dispersive conservation lawsLipschitz flux functionLyapunov-type function

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Dynamics of phase boundaries in solids (74N20) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07)

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