Non-strictly hyperbolic systems, singularity and bifurcation

DOI10.1007/s10915-014-9876-3zbMath1326.65110OpenAlexW2070728863MaRDI QIDQ887002

Katarzyna Saxton, Xuefeng Li

Publication date: 27 October 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9876-3

zbMATH Keywords

Cauchy problemnumerical examplesbifurcationconservation lawGodunov methodsingularity formationGodunov-type methodsquasilinear systemnon-strictly hyperbolic equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Bifurcations in context of PDEs (35B32)

Related Items (1)

Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows

Cites Work

• The Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws
• A numerical method for systems of hyperbolic conservation laws with single stencil reconstructions
• On the influence of damping in hyperbolic equations with parabolic degeneracy
• Nonstrictly hyperbolic systems of conservation laws: formation of singularities
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