This paper establishes a blowup criterion for the three-dimensional viscous, compressible,
and heat conducting magnetohydrodynamic (MHD) flows. It is essentially shown that for the …

In this paper, we prove that the maximum norm of the deformation tensor of velocity
gradients controls the possible breakdown of smooth (strong) solutions for the three …

We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic
(MHD) system of compressible viscous heat-conductive flows and the three-dimensional full …

We study the low-energy solutions to the 3D compressible Navier-Stokes-Poisson
equations. We first obtain the existence of smooth solutions with small $ L^ 2$-norm and …

In this paper, we study the Cauchy problem for the three-dimensional compressible
magnetohydrodynamics equations. We establish a blowup criterion for global regularity of …

The local well-posedness and low Mach number limit are considered for the multi-
dimensional isentropic compressible viscous magnetohydrodynamic equations in critical …

In this paper, we investigate the singularity formulation and blow-up mechanism to the
compressible magnetohydrodynamic (MHD) flows in two dimensions. It is essentially shown …

In this paper, we establish a new blowup criterion for the strong solution to the Cauchy
problem of the three-dimensional compressible MHD system with vacuum. Specifically, we …

We are concerned with the breakdown of strong solutions to the three-dimensional
compressible magnetohydrodynamic equations with density-dependent viscosity. It is shown …

In this paper, we establish a new blowup criterions for the strong solution to the Dirichlet
problem of the three‐dimensional compressible MHD system with vacuum. Specifically, we …