Convergence rate to the nonlinear waves for viscous conservation laws on the half line

DOI10.4310/MAA.2009.V16.N3.A7zbMath1204.35112MaRDI QIDQ982740

Shuichi Kawashima, Itsuko Hashimoto, Yoshihiro Ueda

Publication date: 27 July 2010

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1273002799

zbMATH Keywords

nonlinear wavesRiemann problemweighted energy methodtransonic rarefaction waves

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (6)

Asymptotic stability of traveling wave solutions for nonlocal viscous conservation laws with explicit decay rates ⋮ Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosity ⋮ Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity ⋮ Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation ⋮ Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity ⋮ Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Scalar Conservation Law with the Ostwald--de Waele-Type Viscosity

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