Singularities of vector fields arising from one-dimensional Riemann problems

DOI10.1016/0022-0396(91)90107-KzbMath0752.35036MaRDI QIDQ1181699

Carlos Tomei, I. P. Malta

Publication date: 27 June 1992

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

zbMATH Keywords

viscosity methodshock-wave solutionstwo-dimensional Riemann problemsbifurcations of singularities

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (2)

A global formalism for nonlinear waves in conservation laws ⋮ The numerical inversion of functions from the plane to the plane

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Riemann problems requiring a viscous profile entropy condition
• Generic one-parameter families of vector fields on two-dimensional manifolds
• Riemann Problems for Nonstrictly Hyperbolic 2 × 2 Systems of Conservation Laws
• A Global Theorem for Singularities of Maps between Oriented 2-Manifolds
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
• Some problems in the theory of quasilinear equations

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