3 papers
math.AP2019
Existence and stability of periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces
Boling Guo, Guoquan Qin
We prove the existence of time periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau equation with an external forc…
math.AP2019
Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces
Guoquan Qin
In this paper, we establish the uniquely existence of the global mild solution to the nematic liquid crystal equations in Besov-Morrey spaces. Some self-similarity and large time b…
math.AP2019
Navier-Stokes equations with external forces in Besov-Morrey spaces
Boling Guo, Guoquan Qin
We establish the existence and uniqueness of local strong solutions to the Navier-Stokes equations with arbitrary initial data and external forces in the homogeneous Besov-Morrey s…