Exterior Navier–Stokes flows for bounded data

We prove unique existence of mild solutions on Lσ∞ for the Navier–Stokes equations in an exterior domain in Rn,n≥2, subject to the non‐slip boundary condition.

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Bibliographic Details
Published inMathematische Nachrichten Vol. 290; no. 7; pp. 972 - 985
Main Author Abe, Ken
Format Journal Article
LanguageEnglish
Published Weinheim Wiley Subscription Services, Inc 01.05.2017
Subjects
35K90
35Q35
Boundary conditions
bounded function spaces
D‐solutions
exterior problem
Fluid flow
Navier-Stokes equations
Stokes flow
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ISSN0025-584X
1522-2616
DOI10.1002/mana.201600132

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Summary:We prove unique existence of mild solutions on Lσ∞ for the Navier–Stokes equations in an exterior domain in Rn,n≥2, subject to the non‐slip boundary condition.
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ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201600132