Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations
From MaRDI portal
Publication:2181983
DOI10.1007/s00220-019-03580-8zbMath1439.35372arXiv1902.11166OpenAlexW3102130765WikidataQ127215822 ScholiaQ127215822MaRDI QIDQ2181983
Dehua Wang, Lin-An Li, Yi Wang
Publication date: 20 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.11166
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Euler equations (35Q31) Waves in compressible fluids (76N30)
Related Items (11)
Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations ⋮ Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations ⋮ Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma ⋮ Vanishing Viscosity Limit to Planar Rarefaction Wave with Vacuum for 3D Compressible Navier-Stokes Equations ⋮ Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system ⋮ Stability of planar rarefaction wave to a multi-dimensional non-conservative viscous compressible two-phase flow ⋮ Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system ⋮ Wave phenomena to the three-dimensional fluid-particle model ⋮ Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Zero dissipation limit to rarefaction wave with vacuum for one-dimensional full compressible Navier-Stokes equations
- Zero dissipation limit to rarefaction waves for the 1-D compressible Navier-Stokes equations
- Viscous limits for piecewise smooth solutions of the \(p\)-system
- Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem
- Remarks about the inviscid limit of the Navier-Stokes system
- The Euler equations as a differential inclusion
- Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations
- Zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock
- Zero dissipation limit to strong contact discontinuity for the 1-D compressible Navier-Stokes equations
- Viscous limits for piecewise smooth solutions to systems of conservation laws
- Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws
- The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock
- Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
- Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit
- Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity
- The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
- Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations
- Hyperbolic systems of conservation laws II
- Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids
- STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS
- Uniqueness of rarefaction waves in multidimensional compressible Euler system
- Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
- On contact discontinuities in multi-dimensional isentropic Euler equations
- Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations
- Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Stability of the Isentropic Riemann Solutions of the Full Multidimensional Euler System
- Remarks on the Inviscid Limit for the Navier--Stokes Equations for Uniformly Bounded Velocity Fields
- The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients
This page was built for publication: Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations