4 papers
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 Cauchy problem for the reaction-diffusion system with point-interaction in
Daniele Barbera, Vladimir Georgiev, Mario Rastrelli
The paper studies the existence of solutions for the reaction-diffusion equation in with point-interaction laplacian with , assuming the…
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…
Local and global solutions on arcs for the Ericksen -- Leslie problem in the whole space
Daniele Barbera, Vladimir Georgiev
The work deals with the Ericksen-Leslie System for nematic liquid crystals on the whole space. In our work we suppose the initial condition of the orientation field stays on an arc…