Comparison principles for self-similar potential flow

DOI10.1090/S0002-9939-2011-10937-7zbMath1235.35056OpenAlexW2001242804MaRDI QIDQ3116556

Mikhail Feldman, Gui-Qiang G. Chen

Publication date: 24 February 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10937-7

zbMATH Keywords

maximum principlecomparison principlepotential flowvelocity potentialself-similarHopf-type lemmadivergence structure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Quasilinear elliptic equations (35J62) Comparison principles in context of PDEs (35B51)

Related Items (1)

Multidimensional transonic shock waves and free boundary problems

Cites Work

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• Global solutions of shock reflection by large-angle wedges for potential flow
• Regularity of solutions to regular shock reflection for potential flow
• Multidimensional hyperbolic problems and computations. Proceedings of the IMA workshop, Minneapolis, MN (USA), April 3-14, 1989
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• THE ELLIPTICITY PRINCIPLE FOR SELF-SIMILAR POTENTIAL FLOWS
• Supersonic flow onto a solid wedge
• Multi‐dimensional shock fronts for second order wave equations
• Potential theory for regular and mach reflection of a shock at a wedge
• Shock Reflection-Diffraction Phenomena and Multidimensional Conservation Laws
• Hyperbolic Conservation Laws in Continuum Physics

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