A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion

DOI IR (HANDLE) Open Access

Description

We establish a Liouville type result for a backward global solution to the Navier- Stokes equations in the half plane with the no-slip boundary condition. No assump- tions on spatial decay for the vorticity nor the velocity eld are imposed. We study the vorticity equations instead of the original Navier-Stokes equations. As an appli- cation, we extend the geometric regularity criterion for the Navier-Stokes equations in the three-dimensional half space under the no-slip boundary condition.

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Details 詳細情報について

  • CRID
    1390290699772184448
  • NII Article ID
    120006459732
  • DOI
    10.14943/84187
  • HANDLE
    2115/69847
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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