The Navier–Stokes equations with the Neumann boundary condition in an infinite cylinder

We prove unique existence of local-in-time smooth solutions of the Navier–Stokes equations for initial data in L p and p ∈ [ 3 , ∞ ) in an infinite cylinder, subject to the Neumann boundary condition.

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Bibliographic Details
Published inManuscripta mathematica Vol. 160; no. 3-4; pp. 359 - 383
Main Author Abe, K.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019
Springer Nature B.V
Subjects
Algebraic Geometry
Boundary conditions
Calculus of Variations and Optimal Control; Optimization
Cylinders
Fluid dynamics
Fluid flow
Geometry
Lie Groups
Mathematical analysis
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Number Theory
Topological Groups
35Q35
35K90
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Summary:We prove unique existence of local-in-time smooth solutions of the Navier–Stokes equations for initial data in L p and p ∈ [ 3 , ∞ ) in an infinite cylinder, subject to the Neumann boundary condition.
Bibliography:ObjectType-Article-1
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ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-018-01102-9