On the \(L^2\) and \(L^1\) convergence rates of viscous solutions of the Keyfitz-Kranzer system with piecewise smooth and large BV data

DOI10.1016/j.jde.2004.05.018zbMath1063.35113OpenAlexW2026146771MaRDI QIDQ1775528

Hui-Ying Wang

Publication date: 4 May 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.05.018

zbMATH Keywords

shock wavesshock profilezero dissipationmatched asymptotic analysis

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Unnamed Item
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• The method of quasidecoupling for discontinuous solutions to conservation laws
• Viscous limits for piecewise smooth solutions to systems of conservation laws
• Viscosity methods for piecewise smooth solutions to scalar conservation laws
• Propagation and cancellation of oscillations for hyperbolic systems of conservation laws
• Hyperbolic systems of conservation laws with a symmetry
• On the convergence rate of vanishing viscosity approximations
• Initial boundary value problems for hyperbolic systems
• L₂ is a continuable initial condition for kreiss' mixed problems