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math.AP2026
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…
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…