3 papers
math.PR2026
Uniqueness of invariant measures for stochastic damped anisotropic Navier--Stokes equations
Siyu Liang
We study a two-dimensional Navier--Stokes system with anisotropic viscosity, linear damping term, and an additive noise on the whole space . For this model we prove u…
math.AP2021
A Lower Bound Estimate of Life Span of Solutions to Stochastic 3D Navier-Stokes Equations with Convolution Type Noise
Siyu Liang
In this paper we investigate the stochastic 3D Navier-Stokes equations perturbed by linear multiplicative Gaussian noise of convolution type by transformation to random PDEs. We ar…
math.AP2018
Determinstic and stochastic 2d Navier-Stokes equations with anisotropic viscosity
Siyu Liang, Ping Zhang, Rongchan Zhu
In this paper, we investigate both deterministic and stochastic 2D Navier Stokes equations with anisotropic viscosity. For the deterministic case, we prove the global well-posednes…