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Talk

On stability of physically reasonable solutions to the two-dimensional Navier-Stokes equations

  • Yasunori Maekawa (Kyoto University)
A3 01 (Sophus-Lie room)

Abstract

The flow past an obstacle is a fundamental object in fluid mechanics. In 1967 R. Finn and D. R. Smith proved the unique existence of stationary solutions, called the physically reasonable solutions, to the Navier-Stokes equations in a two-dimensional exterior domain that describe this type of flows when the Reynolds number is sufficiently small. The asymptotic behavior of their solutions at spatial infinity has been studied in details and well understood by now, while its stability has been open due to the difficulty specific to the two-dimensionality. In this talk we show that the physically reasonable solutions constructed by Finn and Smith are asymptotically stable with respect to small and well-localized initial perturbations.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 12, 2024 tba with Theresa Simon
  • Mar 26, 2024 tba with Phan Thành Nam
  • Mar 26, 2024 tba with Dominik Schmid
  • May 7, 2024 tba with Manuel Gnann
  • May 14, 2024 tba with Barbara Verfürth
  • May 14, 2024 tba with Lisa Hartung
  • Jun 25, 2024 tba with Paul Dario
  • Jul 16, 2024 tba with Michael Loss