A free boundary value problem of Euler system arising in supersonic flow past a curved cone

DOI10.2748/tmj/1113247182zbMath1007.35083OpenAlexW1972353214MaRDI QIDQ1607530

Shuxing Chen

Publication date: 8 October 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247182

zbMATH Keywords

Euler equationsflow past a conefree boundary flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Supersonic flows (76J20)

Related Items (8)

A spectral Rayleigh-Ritz scheme for nonlinear partial differential systems of first order ⋮ Nonexistence of a globally stable supersonic conic shock wave for the steady supersonic isothermal Euler flow ⋮ Existence and uniqueness analysis of a detached shock problem for the potential flow ⋮ Local existence and non-relativistic limits of shock solutions to a multidimensional piston problem for the relativistic Euler equations ⋮ Analysis on linear stability of oblique shock waves in steady supersonic flow ⋮ Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone ⋮ Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies ⋮ An Overview of Piston Problems in Fluid Dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear initial-boundary value problem for quasilinear hyperbolic system
• Existence of local solution to supersonic flow past a three-dimensional wing
• Supersonic flow past a nearly straight wedge
• Nonlinear stability of a self-similar 3-dimensional gas flow
• Supersonic flow past a symmetrically curved cone
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• The existence of multidimensional shock fronts
• Multi‐dimensional shock fronts for second order wave equations
• Potential theory for regular and mach reflection of a shock at a wedge
• Probléme de riemann pour une loi de conservation scalaire hyprbolique d'ordre deux
• The stability of multidimensional shock fronts

This page was built for publication: A free boundary value problem of Euler system arising in supersonic flow past a curved cone