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

Hermann Sohr; Hideo Kozono

doi:10.1016/s0294-1449(99)80027-4

JournalsaihpcVol. 16, No. 5pp. 535–561

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

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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 $t \to \infty$ .

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