The Riemann problem for 2\(\times 2\) systems of hyperbolic conservation laws with case I quadratic nonlinearities

DOI10.1016/0022-0396(89)90088-0zbMath0693.35109OpenAlexW2062928511MaRDI QIDQ908422

Michael Shearer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90088-0

zbMATH Keywords

Riemann problemumbilic point

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (10)

Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria ⋮ Quadratic systems of conservation laws with generic behavior at infinity ⋮ The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity ⋮ Undercompressive shocks for nonstrictly hyperbolic conservation laws ⋮ Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems ⋮ A global formalism for nonlinear waves in conservation laws ⋮ On a universal structure for immiscible three-phase flow in virgin reservoirs ⋮ Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity ⋮ VISCOUS SHOCK PROFILES FOR 2 × 2 SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH AN UMBILIC POINT ⋮ Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method

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