Ray equations of a weak shock in a hyperbolic system of conservation laws in multi-dimensions

DOI10.1007/S12044-016-0275-6zbMath1338.35291OpenAlexW2318911650MaRDI QIDQ282313

Phoolan Prasad

Publication date: 12 May 2016

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://eprints.iisc.ac.in/53969/1/Pro_Ind_Aca_Sci_126-2_199_2016.pdf

zbMATH Keywords

nonlinear wavesray theoryshock propagation and weak curved shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shocks and related discontinuities in solid mechanics (74J40) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Hyperbolic equations on manifolds (58J45)

Cites Work

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• Kinematics of a multi-dimensional shock of arbitrary strength in an ideal gas
• Ray theories for hyperbolic waves, kinematical conservation laws (KCL) and applications
• Propagation of shock waves in an isentropic, nonviscous gas
• Hyperbolic systems of conservation laws II
• ON AN INFINITE SYSTEM OF COMPATIBILITY CONDITIONS ALONG A SHOCK RAY

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