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An Anisotropic Onsager Criterion for the Two-Dimensional Navier--Stokes Equations with Horizontal Viscosity
Siyu Liang
We consider distributional weak solutions of the two-dimensional Navier--Stokes equations with horizontal viscosity on or , withou…
On White Noise Solutions of mSQG Equations on
Siyu Liang
In this paper, we show existence of white noise solutions for weak formulations of modified Surface Quasi-Geostrophic (mSQG) equations. Based on previous results (\cite{FS}) on whi…
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…
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…