39 research outputs found
A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations
In this paper, we obtain a blow up criterion for classical solutions to the
3-D compressible Naiver-Stokes equations just in terms of the gradient of the
velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible
flow. In addition, initial vacuum is allowed in our case.Comment: 25 page
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
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
Proceedings of The Symposium on Applied Mathematics : Wavelet, Chaos and Nonlinear PDEs
Proceedings of The Symposium on Applied Mathematics : Wavelet, Chaos and Nonlinear PDEs / Edited by KIYOSHI MIZOHATA. The Symposium on Applied Mathematics. 18-20 September 1997. The Conference Hall of MIZUTA Memorial Library Josai University
Global Solutions to the Cauchy Problem of the Stokes Approximation Equations for Two-Dimensional Compressible Flow
Free boundary value problems for equations of one-dimensional motion of compressible viscous fluids
Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity
An existence theorem for non-homogeneous incompressible fluids
An existence theorem for non-homogeneous incompressible fluids when initial density is non negative