Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations
From MaRDI portal
Publication:4997166
DOI10.1137/14M1191769zbMath1467.76047arXiv2004.04589OpenAlexW3168187119MaRDI QIDQ4997166
Publication date: 28 June 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04589
existenceNavier-Stokes equationsfree boundary problemconvergence rateall-time classical solutionboundary sigularity
Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)
Related Items (4)
Incompressible limit for the free surface Navier-Stokes system ⋮ Singular limit of planar magnetohydrodynamic equations with vacuum free boundary ⋮ On globally large smooth solutions of full compressible Navier-Stokes equations with moving boundary and temperature-dependent heat-conductivity ⋮ Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry
Cites Work
- Unnamed Item
- Inviscid incompressible limits of the full Navier-Stokes-Fourier system
- Global strong solutions to the vacuum free boundary problem for compressible Navier-Stokes equations with degenerate viscosity and gravity force
- Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
- Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
- A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
- Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- The low Mach number limit for the full Navier-Stokes-Fourier system
- Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum
- Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
- Incompressible limits of the Navier-Stokes equations for all time
- Incompressible limit for a viscous compressible fluid
- The zero-Mach limit of compressible flows
- Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
- Fast singular limits of hyperbolic PDEs
- Oscillatory perturbations of the Navier-Stokes equations
- Vacuum states for compressible flow
- Asymptotic behavior of solutions to 1D compressible Navier-Stokes equations with gravity and vacuum
- Rigorous derivation of the anelastic approximation
- Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity
- Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
- Low Mach number limit of the full Navier-Stokes equations
- Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient
- Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- On singular limits arising in the scale analysis of stratified fluid flows
- Asymptotic Limits of the Full Compressible Magnetohydrodynamic Equations
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Global classical solutions to the 1-D vacuum free boundary problem for full compressible Navier-Stokes equations with large data
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Low Mach Number Limit for the Navier–Stokes System on Unbounded Domains Under Strong Stratification
- Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
- Free boundary value problems for the equation of one-dimensional motion of viscous gas
- Compressible and incompressible fluids
- Low Mach number limit of viscous compressible flows in the whole space
- All-Time Existence of Classical Solutions for Slightly Compressible Flows
- On the global solution and interface behaviour of viscous compressible real flow with free boundaries
- Low Mach Number Flows in Time-Dependent Domains
- Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
- Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
- Zero Mach number limit for compressible flows with periodic boundary conditions
- Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations
- Anelastic Approximation as a Singular Limit of the Compressible Navier–Stokes System
- Incompressible Limits of Fluids Excited by Moving Boundaries
This page was built for publication: Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations
