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Time periodic solutions for the 2D Euler equation near Taylor-Couette flow

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  • معلومة اضافية
    • الموضوع:
      2023
    • Collection:
      Mathematics
    • نبذة مختصرة :
      In this paper we consider the incompressible 2D Euler equation in an annular domain with non-penetration boundary condition. In this setting, we prove the existence of a family of non-trivially smooth time-periodic solutions at an arbitrarily small distance from the stationary Taylor-Couette flow in $H^s$, with $s<3/2$, at the vorticity level.
      Comment: 76 pages
    • الرقم المعرف:
      edsarx.2311.06885