A note on statistical solutions of the three-dimensional Navier–Stokes equations: The time-dependent case

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			http://hdl.handle.net/11422/8735

Type:	Artigo
Title:	A note on statistical solutions of the three-dimensional Navier–Stokes equations: The time-dependent case
Author(s)/Inventor(s):	Foias, Ciprian Rosa, Ricardo Martins da Silva Temam, Roger
Abstract:	Indisponível.
Abstract:	Time-dependent statistical solutions of the three-dimensional Navier–Stokes equations for incompressible fluids are considered. They are a mathematical formalization of the notion of ensemble averages in turbulence theory and form the backbone for a mathematical foundation of the theory of turbulence. The two main notions of statistical solutions, previously introduced, are revisited and a new formulation of one of them is given. An existence proof for this new formulation is given, along with a number of useful properties.
Keywords:	Navier–Stokes equations Turbulence Vishik–Fursikov measure
Subject CNPq:	CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Production unit:	Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher:	Elsevier
In:	Comptes Rendus Mathématique
Volume:	348
Issue:	3-4
Issue Date:	20-Feb-2010
DOI:	10.1016/j.crma.2009.12.017
Publisher country:	Brasil
Language:	eng
Right access:	Acesso Aberto
ISSN:	1631-073X
Appears in Collections:	Engenharias

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