Hongyong Cui

collaborators

2 papers

math.DS2026

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…

math.AP2025

$(H, H^{2})$ -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 $T^{2}$ . Under the conditions that the external for…

Analysis of the dynamics of Caputo fractional differential equations

(H,H2)-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus

$(H, H^{2})$ -smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus