Interactions of Composite Waves of the Two-Dimensional Full Euler Equations for Van Der Waals Gases

DOI10.1137/17M1144660zbMath1394.35276OpenAlexW2810897189MaRDI QIDQ4570977

Geng Lai

Publication date: 5 July 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1144660

zbMATH Keywords

method of characteristicscharacteristic decompositionself-similar Euler systemdiscontinuous Goursat problemtwo-dimensional Riemann problemsfan-jump-fan composite wavejump-fan composite wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Euler equations (35Q31) Boundary value problems for PDEs of mixed type (35M12)

Related Items (12)

Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State ⋮ Rarefaction wave interaction and shock-rarefaction composite wave interaction for a two-dimensional nonlinear wave system ⋮ 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 ⋮ Global NonIsentropic Rotational Supersonic Flows in a Semi-Infinite Divergent Duct ⋮ Delta shocks and vacuums to the isentropic Euler equations with the flux perturbation for van der Waals gas ⋮ 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 continuous sonic-supersonic flows in two-dimensional semi-infinite divergent ducts ⋮ On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics ⋮ The Riemann problem for the one-dimensional compressible flow of a van der Waals gas ⋮ The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field

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