Propagation of shock wave type singularities in equations of two-dimensional zero-pressure gas dynamics

DOI10.1007/BF02674204zbMath1003.76044OpenAlexW2087628287MaRDI QIDQ1582836

Yu. G. Rykov

Publication date: 23 January 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674204

zbMATH Keywords

Cauchy problemdistributionsconservation lawshock wavegeneralized solutioncontinuity equationdensity functionRadon measuresgeneralized Rankine-Hugoniot relationdelta-functionvariational representationone-dimensional zero-pressure gas dynamicstwo-dimensional inviscid Burgers equationtwo-dimensional zero-pressure gas dynamics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Hyperbolic systems of conservation laws II
• Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
• Compensated Compactness and General Systems of Conservation Laws
• The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations
• The partial differential equation u_t + uu_x = μ_xx
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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