4 papers
On the Cauchy problem of a sixth-order Cahn-Hilliard equation arising in oil-water-surfactant mixtures
Xiaopeng Zhao
We study the global well-posedness and asymptotic behavior of solutions for the Cauchy problem of three-dimensional sixth order Cahn-Hilliard equation arising in oil-water-surfacta…
Global well-posedness and decay estimates for three-dimensional compressible Navier-Stokes-Allen-Cahn system
Xiaopeng Zhao
We study the small data global well-posedness and time-decay rates of solutions to the Cauchy problem for 3D compressible Navier-Stokes-Allen-Cahn equations via a refined pure ener…
Global well-posedness and decay of solutions to the Cauchy problem of convective Cahn-Hilliard equation
Xiaopeng Zhao
In this paper, we consider the global well-posedness and time-decay rates of solution to the Cauchy problem for 3D convective Cahn-Hilliard equation with double-well potential via…
On the Cauchy problem of 3D incompressible Navier-Stokes-Cahn-Hilliard system
Xiaopeng Zhao
In this paper, we are concerned with the well-posedness and large time behavior of Cauchy problem for 3D incompressible Navier-Stokes-Cahn-Hilliard equations. First, using Banach f…