Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow

DOI10.1007/s11425-015-0229-xzbMath1394.35278OpenAlexW2628887728MaRDI QIDQ1741987

Yuchen Li

Publication date: 11 April 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-0229-x

zbMATH Keywords

isothermal gaslocal stability condition3D supersonic shockmultidimensional conic shocksteady potential equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65)

Related Items (1)

Conical shock waves in supersonic flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compressible fluid flow and systems of conservation laws in several space variables
• Global conic shock wave for the steady supersonic flow past a cone: isothermal case
• On the Neumann problem for some linear hyperbolic systems of second order
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Systems of conservation laws. Two-dimensional Riemann problems
• Global shock waves for the supersonic flow past a perturbed cone
• On the global existence and stability of a multi-dimensional supersonic conic shock wave
• A mixed problem for hyperbolic equations of second order with a first order derivative boundary condition
• Interaction de Deux Chocs Pour un Systeme de Deux Lois de Conservation, en Dimension Deux D'Espace
• Multi‐dimensional shock fronts for second order wave equations
• Elliptic Partial Differential Equations of Second Order
• Global shock waves in some domains for the isentropic irrotational potential flow equations
• Existence of stationary supersonic flows past a pointed body

This page was built for publication: Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow