In this paper, the Cauchy problem to the 1D compressible magnetohydrodynamics
equations is considered. We establish the global existence and uniqueness of strong …

We establish the global-in-time existence and uniqueness of classical solutions of the initial
boundary value problem for 1D compressible magnetohydrodynamics with zero magnetic …

We prove the global-in-time existence of weak solutions to the Navier–Stokes equations of
compressible isentropic flow in three space dimensions with adiabatic exponent γ≥ 1. Initial …

We address the global-in-time existence, stability and long time behaviour of weak solutions
of the three-dimensional compressible Navier-Stokes equations with potential force. We …

We address the compressible magnetohydrodynamics (MHD) equations in $\mathbb {R}^
3$ and establish a blow-up criterion for the local strong solutions in terms of the density only …

We provide a Serrin type blow‐up criterion for the 3‐D viscous compressible flows with large
external potential force. For the Cauchy problem of the 3‐D compressible Navier–Stokes …

We obtain some refined blow-up criteria for the three-dimensional viscous compressible
flows with large external potential force and general pressure. For the Cauchy problem of …

We prove uniqueness of weak solutions of the three-dimensional compressible Navier-
Stokes equations with potential force. We make use of the Lagrangean framework in …

We prove the global-in-time existence of H^ 2 solutions of the equations of compressible
magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data …

We prove the existence of both local and global smooth solutions to the Cauchy problem in
$\R^ 3$ for the incompressible magnetohydrodynamics (MHD) system. We also prove that …