Stability condition for strong shocks in flows over an infinite planar wedge satisfying the Lopatinski condition

DOI10.1142/S0219891615500253zbMath1338.76045OpenAlexW2293711964MaRDI QIDQ2804490

D. L. Tkachev, Alexander Blokhin

Publication date: 29 April 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891615500253

zbMATH Keywords

asymptotic stabilityLopatinski conditionstrong shock wavegeneralized problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Initial-boundary value problems for first-order hyperbolic systems (35L50) Supersonic flows (76J20)

Related Items

Two‐phase states of the generalized van der Waals gas: Conditions of absolute and neutral shock wave stability, Local solvability of the problem of the van der Waals gas flow around an infinite plane wedge in the case of a weak shock wave

Cites Work

• Stability condition for strong shock waves in the problem of flow around an infinite plane wedge
• On the possible modes of flow around tapered bodies of finite thickness at arbitrary supersonic velocities of the approach stream
• Study of the stability in the problem on flowing around a wedge. the case of strong wave
• Existence and stability of supersonic Euler flows past Lipschitz wedges
• Stability of a supersonic flow over a wedge containing a weak shock wave satisfying the Lopatinski condition
• A modification of cagniard’s method for solving seismic pulse problems
• Stability of a supersonic flow about a wedge with weak shock wave
• Nonlinear conical flow of a gas
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