In this paper, we are concerned with the global existence and optimal rates of strong
solutions for three-dimensional compressible viscoelastic flows. We prove the global …

In this paper, we are concerned with the system of the compressible Navier–Stokes
equations coupled with the Maxwell equations through the Lorentz force in three space …

This paper is concerned with time‐decay rates of the weak solutions to the 3D compressible
magnetohydrodynamic flows with discontinuous initial data and large oscillations. The …

This paper is concerned with the Cauchy problem of the three-dimensional viscous liquid–
gas two-phase flow model. We prove the global existence of a strong solution when H 2 …

In this paper we are concerned with the convergence rates of the global strong solution to
motionless state with constant density for the compressible Navier–Stokes equations in the …

In this paper, we are concerned with the global well-posedness and decay rates of strong
solutions for the three-dimensional compressible Oldroyd-B model. We prove that this set of …

The two-phase flow models are commonly used in industrial applications, such as nuclear,
power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on …

The global existence issue in critical spaces for compressible Navier–Stokes equations, was
addressed by Danchin (Invent Math 141: 579–614, 2000) and then developed by Charve …

In this paper, we consider the large time behavior of the Cauchy problem for the three-
dimensional isentropic compressible magnetohydrodynamic (MHD) equations. The global …

In this paper, we study the global existence and large time behavior of the classical solution
for the non-isentropic compressible Navier-Stokes-Allen-Cahn (NSAC) system describing …