Ancient Solutions to Navier-Stokes Equations in Half Space

作者:Barker T*; Seregin G
来源:Journal of Mathematical Fluid Mechanics, 2015, 17(3): 551-575.
DOI:10.1007/s00021-015-0211-z

摘要

In the present paper we consider mild bounded ancient (backward) solutions to the Navier-Stokes equations in the half plane. We give two different definitions, prove their equivalence and prove smoothness up to the boundary. Such solutions appear as a result of rescaling around a singular point of the initial boundary value problem for the Navier-Stokes equations in the half-plane.

  • 出版日期2015-9