4 research outputs found
Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
The equations of the three-dimensional viscous, compressible, and heat
conducting magnetohydrodynamic flows are considered in a bounded domain. The
viscosity coefficients and heat conductivity can depend on the temperature. A
solution to the initial-boundary value problem is constructed through an
approximation scheme and a weak convergence method. The existence of a global
variational weak solution to the three-dimensional full magnetohydrodynamic
equations with large data is established
Incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients
This paper is concerned with the incompressible limit of the compressible
magnetohydrodynamic equations with vanishing viscosity coefficients and general
initial data in the whole space or 3). It is rigorously
showed that, as the Mach number, the shear viscosity coefficient and the
magnetic diffusion coefficient simultaneously go to zero, the weak solution of
the compressible magnetohydrodynamic equations converges to the strong solution
of the ideal incompressible magnetohydrodynamic equations as long as the latter
exists.Comment: 17pages. We have improved our paper according to the referees'
suggestion
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
The three-dimensional equations of compressible magnetohydrodynamic
isentropic flows are considered. An initial-boundary value problem is studied
in a bounded domain with large data. The existence and large-time behavior of
global weak solutions are established through a three-level approximation,
energy estimates, and weak convergence for the adiabatic exponent
and constant viscosity coefficients