Global axisymmetric classical solutions of full compressible magnetohydrodynamic equations with vacuum free boundary and large initial data
DOI10.1007/s11425-019-1694-0zbMath1490.35333OpenAlexW3081288658MaRDI QIDQ2115295
Kunquan Li, Zilai Li, YaoBin Ou
Publication date: 15 March 2022
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-019-1694-0
large initial datacompressible magnetohydrodynamic equationsglobal axisymmetric classical solutionsvacuum free boundary
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) 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) Axially symmetric solutions to PDEs (35B07) Classical solutions to PDEs (35A09)
Cites Work
- Unnamed Item
- Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities
- Analytic inequalities and their applications in PDEs
- Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data
- Global existence and exponential stability for a 1D compressible and radiative MHD flow
- Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum
- Global classical solutions to the free boundary problem of planar full magnetohydrodynamic equations with large initial data
- Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- Local well-posedness of dynamics of viscous gaseous stars
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Strong solution to the compressible magnetohydrodynamic equations with vacuum
- Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients
- Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations
- Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary
- Symmetric nonbarotropic flows with large data and forces
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
- Global classical solutions to the 2D compressible MHD equations with large data and vacuum
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Global large solutions of magnetohydrodynamics with temperature-dependent heat conductivity
- Global solution of 3D axially symmetric nonhomogeneous incompressible MHD equations
- Axially symmetric incompressible MHD in three dimensions
- Global strong solutions to 1-D vacuum free boundary problem for compressible Navier-Stokes equations with variable viscosity and thermal conductivity
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum
- Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
- 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
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity
- Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions
- Global solutions to planar magnetohydrodynamic equations with radiation and large initial data
- Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations
- Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry
- Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
- On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics
- Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
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