Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
type: Item
instance of: scholarly article
title: Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity
zbMATH Open document ID: 0909.35104
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1998-09-30T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108473
review text: The authors investigate the asymptotics of the solutions to the stationary Stokes and Navier-Stokes equations of a viscous incompressible fluid with additional flux conditions in a domain with paraboloidal outlets to infinity (an intermediate case between cylindrical and conical outlets). The complete asymptotic decomposition is constructed for the solution of the Stokes problem in the case when the right-hand side has either a compact support or a special series representation. For the solution of the nonlinear Navier-Stokes problem the asymptotic decomposition is constructed in the case of zero right-hand side. The obtained asymptotic decompositions are justified in weighted Hölder spaces.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 1183131
zbMATH Keywords: weighted Hölder spaces
zbMATH Keywords: complete asymptotic decomposition
author: Sergei A. Nazarov
author: K. Pileckas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1183131