5 papers · 1 filter
Local and global well-posedness in the -setting for the Q-tensor model in and
Daniele Barbera, Vladimir Georgiev, Miho Murata +1
The paper studies the Q-tensor model for nematic liquid crystals, a system that couples a Navier-Stokes equation with an evolution equation for the order parameter tensor Q. The fi…
The global well-posedness for the Q-tensor model of nematic liquid crystals in the half-space
Daniele Barbera, Miho Murata, Yoshihiro Shibata
In this paper, we consider the Q-tensor model of nematic liquid crystals, which couples the Navier-Stokes equations with a parabolic-type equation describing the evolution of the d…
The -boundedness of solution operators for the -tensor model of nematic liquid crystals
Daniele Barbera, Miho Murata
In this paper, we consider a resolvent problem arising from the -tensor model for liquid crystal flows in the half-space. Our purpose is to show the -boundedness fo…
On the -boundedness of solution operators for a compressible fluid model of Korteweg type in general domains
Sri Maryani, Miho Murata
In this paper, we consider a resolvent problem arising from the free boundary problem for the compressible fluid model of the Korteweg type, which is called the Navier-Stokes-Korte…
The - maximal regularity for the Beris-Edward model in the half-space
Daniele Barbera, Miho Murata
In this paper, we consider the model describing viscous incompressible liquid crystal flows, called the Beris-Edwards model, in the half-space.This model is a coupled system by the…