A global formalism for nonlinear waves in conservation laws

DOI10.1007/BF02097015zbMath0786.76048OpenAlexW1997688945MaRDI QIDQ1198810

Bradley J. Plohr, Eli L. Isaacson, Dan Marchesin, Carlos Frederico Borges Palmeira

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02097015

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05)

Related Items (16)

Topology of elementary waves for mixed-type systems of conservation laws ⋮ Hyperbolic conservation laws with umbilic degeneracy. I ⋮ Intersections of Hugoniot curves with the sonic surface in the wave manifold ⋮ Hyperbolicity singularities in rarefaction waves ⋮ Dynamics of shear flow of a non-Newtonian fluid ⋮ LAX SHOCKS IN MIXED-TYPE SYSTEMS OF CONSERVATION LAWS ⋮ Nonlinear wave interactions in geochemical modeling ⋮ An adaptive Riemann solver using a two-shock approximation ⋮ Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems ⋮ Topological resolution of Riemann problems for pairs of conservation laws ⋮ GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS ⋮ THE RIEMANN PROBLEM FOR MULTIPHASE FLOWS IN POROUS MEDIA WITH MASS TRANSFER BETWEEN PHASES ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method ⋮ The geometry of \(2 \times 2\) systems of conservation laws ⋮ Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point

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