Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions

DOI10.1016/0022-247X(74)90122-XzbMath0273.35052MaRDI QIDQ2264921

Lewis Leibovich

Publication date: 1974

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

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Perturbation of the Riemann problem in gas dynamics, Energy criteria for finite hyperelasticity, Weak Solutions with Unbounded Variation, A global formalism for nonlinear waves in conservation laws, The Riemann problem for a class of conservation laws of van der Waals fluid, The Riemann problem for certain classes of hyperbolic systems of conservation laws, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, The Riemann problem for \(p\)-systems with continuous flux function

Cites Work

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• The Riemann problem for materials with nonconvex equation of state. II: General flow
• Polygonal approximations of solutions of the initial value problem for a conservation law
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• Hyperbolic systems of conservation laws II
• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation