Stability condition for strong shock waves in the problem of flow around an infinite plane wedge

DOI10.1016/j.nahs.2006.10.012zbMath1170.35324OpenAlexW1986504309MaRDI QIDQ1005291

Yu. Yu. Pashinin, D. L. Tkachev, Alexander Blokhin

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2006.10.012

zbMATH Keywords

generalized solutionstrong shock waveLyapunov asymptotical stabilityplane wedgeuniform Lopatinsky condition

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Stability of a supersonic flow over a wedge containing a weak shock wave satisfying the Lopatinski condition ⋮ Two‐phase states of the generalized van der Waals gas: Conditions of absolute and neutral shock wave stability ⋮ Stability of a supersonic flow past a wedge with adjoint weak neutrally stable shock wave ⋮ 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 ⋮ The flow of a supersonic ideal gas with ``weak and ``strong shocks over a wedge ⋮ Stability condition for strong shocks in flows over an infinite planar wedge satisfying the Lopatinski condition ⋮ Justification of the Courant-Friedrich's hypothesis in the case of a weak shock. I. Presentation of solution to linear problem

Cites Work

• Well-posedness of a linear mixed problem on the supersonic flow around a 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
• Mixed problem for the wave equation with an oblique derivative boundary condition
• Stability of Shock Waves Attached to Wedges and Cones
• A modification of cagniard’s method for solving seismic pulse problems
• The Wave Equation in A Wedge With General Boundary Conditions
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