Global Smooth Solutions of Euler Equations for Van der Waals Gases

DOI10.1137/100787982zbMath1230.35063arXiv1003.4903OpenAlexW2118289580MaRDI QIDQ3174628

Magali Lécureux-Mercier

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1003.4903

zbMATH Keywords

smooth solutionsEuler compressible equationsspecial symmetrization

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (11)

Expansion of a wedge of non-ideal gas into vacuum ⋮ Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas ⋮ Simple waves of the two dimensional compressible Euler equations in magnetohydrodynamics ⋮ Global existence of smooth solutions for the one-dimensional full Euler system for a dusty gas ⋮ Three pieces Riemann problem for 2‐D full Euler system in the Noble–Abel gas ⋮ Existence Analysis of a Single-Phase Flow Mixture with van der Waals Pressure ⋮ Delta shocks and vacuums to the isentropic Euler equations with the flux perturbation for van der Waals gas ⋮ On the global existence for the compressible Euler-Poisson system, and the instability of static solutions ⋮ The Riemann problem for the one-dimensional compressible flow of a van der Waals gas ⋮ The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings ⋮ On the expansion of a wedge of van der Waals gas into a vacuum

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