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<p>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.</p>

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Asymptotic behavior of stochastic anisotropic Navier-Stokes models

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • Min Zhu,
  • Hongshuai Dai

摘要

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.