Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains

  • Hermann Sohr

    Fachbereich der Mathematik Universität Paderborn 33095 Paderborn, Deutschland
  • Hideo Kozono

    Graduate School of Polymathematics Nagoya University Nagoya 464-8602 Japan

Abstract

Global strong solutions of the Navier-Stokes equations in 4 and 5 dimensional domains with non-compact boundaries are constructed. We prove also their asymptotic behaviour as t → ∞.

Cite this article

Hermann Sohr, Hideo Kozono, Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 5, pp. 535–561

DOI 10.1016/S0294-1449(99)80027-4