Exponential Decay and Regularity of Global Solutions for the 3D Navier–Stokes Equations Posed on Lipschitz and Smooth Domains

Autor:	N. A. Larkin, M. V. Padilha
Rok vydání:	2020
Předmět:	Applied Mathematics Mathematical analysis Condensed Matter Physics Lipschitz continuity Strong solutions Computational Mathematics Norm (mathematics) Bounded function Uniqueness Exponential decay Navier–Stokes equations Mathematical Physics Smoothing Mathematics
Zdroj:	Journal of Mathematical Fluid Mechanics. 22
ISSN:	1422-6952 1422-6928
DOI:	10.1007/s00021-020-00499-2
Popis:	We study initial-boundary value problems for the 3D Navier–Stokes equations posed on bounded and unbounded parallelepipeds as well as on bounded and unbounded smooth domains without smallness restrictions for the initial data. Under conditions on sizes of domains, we establish the existence, uniqueness and exponential decay of solutions in $$H^2$$ -norm for bounded domains as well as “smoothing” effect and in $$H^1$$ -norm for unbounded ones. Moreover, for smooth subdomains of unbounded domains, we prove regularity of strong solutions and “smoothing” effect.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fc9f0ca9b6df583d840c18e31e03583a https://doi.org/10.1007/s00021-020-00499-2 Zobrazit plný text záznamu Full text from SpringerLink