Global strong solution of the Navier–Stokes equations in 4 and 5 dimensional unbounded domains
Hermann Sohr
Fachbereich der Mathematik Universität Paderborn 33095 Paderborn, DeutschlandHideo 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 .
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