The Cauchy problem for 1-D linear nonconservative hyperbolic systems with possibly expansive discontinuity of the coefficient: a viscous approach

DOI10.1016/J.JDE.2007.12.013zbMath1158.35061OpenAlexW2076718544MaRDI QIDQ952099

B. E. Eshmatov

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.12.013

zbMATH Keywords

boundary layersvanishing viscosity approachpiecewise constant hyperbolic operatorssharp spectral stability assumption

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Small viscosity solution of linear scalar 1-D conservation laws with one discontinuity of the coefficient ⋮ Viscous approach for linear hyperbolic systems with discontinuous coefficients

Cites Work

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• Representation of Weak Limits and Definition of Nonconservative Products
• Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients
• Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers)

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