On the expansion of a wedge of van der Waals gas into a vacuum. II

DOI10.1016/j.jde.2015.10.048zbMath1354.35078OpenAlexW2106428362MaRDI QIDQ898567

Geng Lai

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.048

zbMATH Keywords

vacuumwave interactiondiscontinuous Goursat problemFan-jump composite wavegas expansion

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (15)

Rarefaction wave interaction and shock-rarefaction composite wave interaction for a two-dimensional nonlinear wave system ⋮ Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas ⋮ Interactions of Composite Waves of the Two-Dimensional Full Euler Equations for Van Der Waals Gases ⋮ Two-dimensional pseudo-steady supersonic isothermal flow around a sharp corner ⋮ On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas ⋮ Interactions of rarefaction waves and rarefaction shocks of the two-dimensional compressible Euler equations with general equation of state ⋮ Global existence of smooth solutions for the one-dimensional full Euler system for a dusty gas ⋮ The expansion of a non‐ideal gas around a sharp corner for 2‐D compressible Euler system ⋮ Two‐dimensional pseudo‐steady supersonic flow around a sharp corner ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Interaction of fan–jump–fan composite waves in a two-dimensional steady jet for van der Waals gases ⋮ Two-dimensional pseudosteady flows around a sharp corner ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemann boundary value problems and reflection of shock for the Chaplygin gas
• Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
• Non-existence of strong regular reflections in self-similar potential flow
• Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions
• Interaction of four rarefaction waves in the bi-symmetric class of the pressure-gradient system
• Interaction of rarefaction waves of the two-dimensional self-similar Euler equations
• Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations
• Regular reflection in self-similar potential flow and the sonic criterion
• The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system
• Global solutions of shock reflection by large-angle wedges for potential flow
• Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations
• Multidimensional shock interaction for a Chaplygin gas
• The Riemann problem for general systems of conservation laws
• Systems of conservation laws. Two-dimensional Riemann problems
• Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics
• The Riemann problem for materials with nonconvex equation of state. II: General flow
• Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations
• The expansion of gas from a wedge with small angle into a vacuum
• On the expansion of a wedge of van der Waals gas into a vacuum
• Interaction of three and four rarefaction waves of the pressure-gradient system
• Two-dimensional regular shock reflection for the pressure gradient system of conservation laws
• Shock diffraction by convex cornered wedges for the nonlinear wave system
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• On the Two-Dimensional Gas Expansion for Compressible Euler Equations
• Two-Dimensional Riemann Problems for Chaplygin Gas
• Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
• Supersonic flow onto a solid wedge
• The interaction of rarefaction waves of the two-dimensional Euler equations
• The Riemann Problem in Gas Dynamics
• The Discontinuous Initial Value Problem of a Reacting Gas Flow System
• The Riemann problem for the transportation equations in gas dynamics
• A free boundary problem for a quasi-linear degenerate elliptic equation: Regular reflection of weak shocks
• Interaction of jump-fan composite waves in a two-dimensional jet for van der Waals gases
• The Riemann problem for fluid flow of real materials
• Free Boundary Problems for Nonlinear Wave Systems: Mach Stems for Interacting Shocks

This page was built for publication: On the expansion of a wedge of van der Waals gas into a vacuum. II