Self-similar solutions of the Euler equations with spherical symmetry

DOI10.1016/j.na.2012.07.019zbMath1258.34047OpenAlexW1982257394MaRDI QIDQ452444

Chen-Chang Peng, Wen-Ching Lien

Publication date: 21 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.019

zbMATH Keywords

self-similarityEuler equationsshock waves

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Euler equations (35Q31)

Related Items (6)

Axisymmetric solutions of the shallow water equations with bottom topography ⋮ Self-similar solutions of the radially symmetric relativistic Euler equations ⋮ Spherical detonation waves in relativistic hydrodynamics ⋮ Nonlinear stability of spherical self-similar flows to the compressible Euler equations ⋮ Self-similar solutions to the spherically-symmetric Euler equations with a two-constant equation of state ⋮ Smooth transonic flows around cones

Cites Work

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• Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
• SIMILARITY FLOWS BEHIND STRONG SHOCK WAVES
• Exact Solutions of Compressible Flow Equations with Spherical Symmetry
• Shock Waves & Explosions
• THE POSITION OF THE SHOCK-WAVE IN CERTAIN AERODYNAMIC PROBLEMS
• The air wave surrounding an expanding sphere

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