Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow

DOI10.3934/dcdsb.2022091zbMath1498.35399OpenAlexW4285150067MaRDI QIDQ2083319

Shu Wang, Yixuan Zhao

Publication date: 10 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022091

zbMATH Keywords

energy methodasymptotic stabilitytwo-phase flowplanar rarefaction wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Euler equations (35Q31) Compressible Navier-Stokes equations (76N06) Liquid-liquid two component flows (76T06)

Cites Work

• Unnamed Item
• Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
• Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system
• Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
• Wave phenomena to the three-dimensional fluid-particle model
• Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations
• Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations
• Stability of planar rarefaction wave to a multi-dimensional non-conservative viscous compressible two-phase flow
• Stability of rarefaction waves of the Navier-Stokes-Poisson system
• Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation
• Stability of the rarefaction wave for a two-fluid plasma model with diffusion
• Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity
• Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system
• Hyperbolic systems of conservation laws II
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
• Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations

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