6 papers
Pullback exponential attractors for 3D non-autonomous Boussinesq equations with fractional Laplacian
Tong Kou, Hui Liu, Xiuqing Wang +1
Focusing on the pullback asymptotic behavior exhibited by the system, this paper studies the three-dimensional (3D) non-autonomous Boussinesq equations with fractional Laplacian. F…
Singular limits for general energy-critical complex Ginzburg-Landau equations
Lingbang Gao, Jie Xin, Yunrui Zheng
Motivated by dissipative approximations of the three-dimensional focusing energy-critical nonlinear Schrödinger equation, we study the inviscid and zero-dispersion limits for gener…
Analysis of the dynamics of Caputo fractional differential equations
Hongyong Cui, Peter E. Kloeden, Jie Xin
It is known that a finite-dimensional Caputo fractional differential equation, though itself need not generate a semiflow, can be represented as a Volterra integral equation which…
-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus
Hongyong Cui, Hui Liu, Jie Xin
This paper is devoted to the regularity of Navier-Stokes (NS) equations with additive white noise on two-dimensional torus . Under the conditions that the external for…
-smoothing effect and convergence of solutions of stochastic two-dimensional anisotropic Navier-Stokes equations driven by colored noise
Hui Liu, Dong Su, Chengfeng Sun +1
This paper is devoted to the higher regularity and convergence of solutions of anisotropic Navier-Stokes (NS) equations with additive colored noise and white noise on two-dimension…
Regularity of random attractor and fractal dimension of fractional stochastic Navier-Stokes equations on three-dimensional torus
Hui Liu, Chengfeng Sun, Jie Xin
In this paper we will study the asymptotic dynamics of fractional Navier-Stokes (NS) equations with additive white noise on three-dimensional torus . Under the conditi…