Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system
From MaRDI portal
Publication:1732138
DOI10.1016/j.jde.2018.11.034zbMath1411.35034OpenAlexW2905045821WikidataQ128767883 ScholiaQ128767883MaRDI QIDQ1732138
Publication date: 22 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.11.034
center manifold theoremnonlinear waveinflow problemhalf spacespace-asymptotic statestime-asymptotic state
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs of mixed type (35M10) Waves for incompressible viscous fluids (76D33) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items (13)
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems ⋮ On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum ⋮ Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity ⋮ Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system ⋮ On the mass-conserving Allen-Cahn approximation for incompressible binary fluids ⋮ The asymptotic stability of phase separation states for compressible immiscible two-phase flow in 3D ⋮ Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity ⋮ Stability of the composite wave for compressible Navier–Stokes/Allen–Cahn system ⋮ Stability of the phase separation state for compressible Navier-Stokes/Allen-Cahn system ⋮ Stability of planar rarefaction wave to a multi-dimensional non-conservative viscous compressible two-phase flow ⋮ Asymptotic stability of planar rarefaction wave to a multi-dimensional two-phase flow ⋮ Global well-posedness and \(L^2\) decay estimate of smooth solutions for 2D incompressible Navier-Stokes-Allen-Cahn system ⋮ Global weak solutions for 1D compressible Navier-Stokes/Allen-Cahn system with vacuum
Cites Work
- Unnamed Item
- Diffuse interface surface tension models in an expanding flow
- Weak solutions of a two-phase Navier-Stokes model with a general slip law
- Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space
- Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
- Contact discontinuity with general perturbations for gas motions
- Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
- Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
- Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
- Applications of centre manifold theory
- Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
- Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas
- Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
- Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
- Spectral analysis for travelling waves in compressible two-phase fluids of Navier-Stokes-Allen-Cahn type
- Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
- STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
- Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations
- Large-time behaviour of solutions to the outflow problem of full compressible Navier–Stokes equations
- Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
- STATIONARY WAVES TO VISCOUS HEAT-CONDUCTIVE GASES IN HALF-SPACE: EXISTENCE, STABILITY AND CONVERGENCE RATE
- Large-Time Behavior of Solutions to the Inflow Problem of Full Compressible Navier–Stokes Equations
- On the large time behavior of the compressible gas–liquid drift-flux model with slip
- ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
- Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
- Stability of Wave Patterns to the Inflow Problem of Full Compressible Navier–Stokes Equations
- Global Solutions of a Viscous Gas-Liquid Model with Unequal Fluid Velocities in a Closed Conduit
- Hyperbolic Conservation Laws in Continuum Physics
- Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
- A theoretical and numerical model for the study of incompressible mixture flows
- Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas
This page was built for publication: Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system
