Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\)
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Publication:1981754
DOI10.1016/j.jde.2021.08.016zbMath1486.35325OpenAlexW3193423189MaRDI QIDQ1981754
Yuhui Chen, Jingchi Huang, Zhengzhen Wei, Chao Wang
Publication date: 6 September 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.08.016
Degenerate parabolic equations (35K65) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum
- Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary
- Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries
- Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum
- Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
- Uniform regularity for the Navier-Stokes equation with Navier boundary condition
- On the uniqueness of compressible fluid motions
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- Large-time regularity of viscous surface waves
- Compressible flow in a half-space with Navier boundary conditions
- Singular behavior of vacuum states for compressible fluids
- Existence results for viscous polytropic fluids with vacuum
- Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients
- On the first initial-boundary value problem of compressible viscous fluid motion
- Compressible flow with vacuum and physical singularity.
- Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary
- Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
- Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations
- Compressible flow with damping and vacuum
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions
- Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
- On blowup of classical solutions to the compressible Navier-Stokes equations
- Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids
- Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure
- Well-posedness for compressible Euler equations with physical vacuum singularity
- On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
- Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
- A Model of Radiational Gaseous Stars
- Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions
- Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations
- Global Well-Posedness of the One-Dimensional Compressible Navier--Stokes Equations with Constant Heat Conductivity and Nonnegative Density
- On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
- On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
