Interactions between two rarefaction waves for the pressure-gradient equations in the gas dynamics

DOI10.1016/j.amc.2007.09.048zbMath1137.76031OpenAlexW2086057809MaRDI QIDQ924405

Elsie Sterbin Gottlieb

Publication date: 16 May 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.048

zbMATH Keywords

existenceuniquenessGoursat problem

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Two-dimensional Riemann problem for a hyperbolic system of conservation laws in three pieces ⋮ Wave interactions in non-ideal isentropic magnetogasdynamics ⋮ Existence in the large for pressure-gradient system ⋮ Two-step shock waves propagation for isothermal Euler equations ⋮ The interaction of rarefaction waves for a system of granular flow equations

Cites Work

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• Systems of conservation laws. Two-dimensional Riemann problems
• Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics
• On two-dimensional gas expansion for pressure-gradient equations of Euler system
• Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
• Existence of solutions to the transonic pressure gradient equations of the compressible euler equations in elliptic Regions
• The Pressure-Gradient System on Non-smooth Domains
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations