The existence and uniqueness of stationary solutions to anisotropic Navier-Stokes equations is investigated by a Galerkin technique in this work. Based on this conclusion, we further explore the exponential stability of weak solutions to stochastic anisotropic Navier-Stokes equations. We present a relationship among different growth exponents, which is sufficient to guarantee the existence, uniqueness and exponential stability of stationary solutions.
Min ZHU
,
Hongshuai DAI
. ASYMPTOTIC BEHAVIOR OF STOCHASTIC ANISOTROPIC NAVIER-STOKES MODELS[J]. Acta mathematica scientia, Series B, 2025
, 45(5)
: 2264
-2278
.
DOI: 10.1007/s10473-025-0524-9
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