Pointwise estimates on travelling wave solution of the scalar viscous conservation laws

DOI10.1007/BF02907207zbMath1048.35036MaRDI QIDQ4439335

Weike Wang, Yu-Xia Fu

Publication date: 2003

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

zbMATH Keywords

viscous shock solutionapproximate Green' a function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• On the stability of waves of nonlinear parabolic systems
• Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation
• L1 stability of travelling waves with applications to convective porous media flow
• Pointwise Green's function approach to stability for scalar conservation laws
• Stability of travelling waves for non‐convex scalar viscous conservation laws
• ?1 stability of shock waves in scalar viscous conservation laws
• Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
• The partial differential equation u_t + uu_x = μ_xx
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions

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