Interaction of four rarefaction waves in the bi-symmetric class of the pressure-gradient system

DOI10.1016/j.jde.2011.11.010zbMath1242.35168OpenAlexW2031165783MaRDI QIDQ765958

Fengbai Li, Wei Xiao

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.010

zbMATH Keywords

bi-symmetric initial datafour-wave two-dimensional Riemann problemsmulti-dimensional pressure-gradient system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (10)

Rarefaction wave interaction and shock-rarefaction composite wave interaction for a two-dimensional nonlinear wave system ⋮ Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions ⋮ On the expansion of a wedge of van der Waals gas into a vacuum. II ⋮ The interaction of rarefaction waves of a two-dimensional nonlinear wave system ⋮ On the lifespan and the blowup mechanism of smooth solutions to a class of 2-D nonlinear wave equations with small initial data ⋮ Expansion of gas by turning a sharp corner into vacuum for 2-D pseudo-steady compressible magnetohydrodynamics system ⋮ Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state ⋮ On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics ⋮ Elementary Wave Interactions to the Compressible Euler Equations for Chaplygin Gas in Two Dimensions ⋮ On the expansion of a wedge of van der Waals gas into a vacuum

Cites Work

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