Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations

DOI10.1007/s00205-018-1260-2zbMath1414.35150arXiv1801.05706OpenAlexW3099112913WikidataQ129837034 ScholiaQ129837034MaRDI QIDQ1728927

Yi Wang, Teng Wang, Lin-An Li

Publication date: 27 February 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05706

zbMATH Keywords

stabilityrarefaction waveviscouscompressibleheat conducting fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) First-order hyperbolic systems (35L40)

Related Items (22)

On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition ⋮ Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations ⋮ Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations ⋮ Nonlinear stability of rarefaction waves for a compressible micropolar fluid model with zero heat conductivity ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations ⋮ Asymptotic stability of planar rarefaction waves under periodic perturbations for 3-d Navier-Stokes equations ⋮ Stability of the planar rarefaction wave to three-dimensional full compressible Navier–Stokes–Poisson system ⋮ Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Asymptotic stability of viscous contact wave to a radiation hydrodynamic limit model ⋮ Asymptotic stability of planar rarefaction wave to 3D radiative hydrodynamics ⋮ Stability of planar rarefaction wave to a multi-dimensional non-conservative viscous compressible two-phase flow ⋮ Asymptotic stability of rarefaction waves to a radiation hydrodynamic limit model ⋮ Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system ⋮ Asymptotic stability of planar rarefaction wave to 3D micropolar equations ⋮ Wave phenomena to the three-dimensional fluid-particle model ⋮ Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids ⋮ Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation ⋮ Vanishing viscosity limit of the 2D micropolar equations for planar rarefaction wave to a Riemann problem ⋮ Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow ⋮ Large-time behaviors of the solution to 3D compressible Navier-Stokes equations in half space with Navier boundary conditions

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