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<p>In this paper, we establish the global existence and stability of solutions to 3-D anisotropic Navier-Stokes equations in an infinite cylindrical domain with large Fourier mode initial data. In particular, for the classical 3-D Navier-Stokes equations, the functional, which we construct in this paper, can be used to improve the polynomial decay in <i>k</i> for the Fourier coefficients of the solution constructed in Liu and Zhang (2024) to be the exponential decay in <i>k</i> here.</p>

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Global stability of large Fourier mode for 3-D anisotropic Navier-Stokes equations in the cylindrical domain

  • 期刊论文

  • 发表日期：

    2026年1月21日

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  • Ning Liu,
  • Yanlin Liu,
  • Ping Zhang

摘要

In this paper, we establish the global existence and stability of solutions to 3-D anisotropic Navier-Stokes equations in an infinite cylindrical domain with large Fourier mode initial data. In particular, for the classical 3-D Navier-Stokes equations, the functional, which we construct in this paper, can be used to improve the polynomial decay in k for the Fourier coefficients of the solution constructed in Liu and Zhang (2024) to be the exponential decay in k here.