Examples of cylindrical shock wave conversion by focusing

DOI10.1216/rmjm/1181072766zbMath0764.35062OpenAlexW2073517560MaRDI QIDQ1201225

Calvin H. Wilcox

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072766

zbMATH Keywords

distribution solutionsfinite jumprotationally symmetric initial datasolutions of the Darboux equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Continuation and prolongation of solutions to PDEs (35B60)

Uses Software

• SPDE

Cites Work

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• On the existence and the regularity of solutions of linear pseudo- differential equations
• Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
• The Cauchy Problem for the Wave Equation with Distribution Data: an Elementary Approach
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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