7 citations · 14 across the 8 of their papers we have counts for
8 papers
The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation
Guoquan Qin, Zhenya Yan, Boling Guo
In this paper, we are concerned with the Cauchy problem and wave-breaking phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH) equation. Employing the transport e…
Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation
Guoquan Qin, Zhenya Yan, Boling Guo
In this paper, we investigate the orbital stability issue of a generalized higher-order Camassa-Holm (HOCH) equation, which is an higher-order extension of the quadratic CH equatio…
The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities
Guoquan Qina, Zhenya Yan, Boling Guo
This paper investigates the Cauchy problem of a generalized Camassa-Holm equation with quadratic and cubic nonlinearities (alias the mCH-Novikov-CH equation), which is a generaliza…
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…
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…
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…
On the propagation of regularity and decay of solutions to the Benjamin equation
Boling Guo, Guoquan Qin
In this paper, we investigate some special regularities and decay properties of solutions to the initial value problem(IVP) of the Benjamin equation. The main result shows that: fo…
Local existence of strong solutions to the model equations for turbulent flows
Baoquan Yuan, Guoquan Qin
In this paper, we are concerned with the local existence of strong solutions to the model equations for turbulent flows in a bounded domain $\mathbb{R}…