Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing

We introduce a new method for establishing local analyticity and estimating the local analyticity radius of a solutions to the 3D Navier–Stokes equations at interior points. The approach is based on rephrasing the problem in terms of second order parabolic systems which are then estimated using the...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 259; no. 8; pp. 3955 - 3975
Main Authors Bradshaw, Zachary, Grujić, Zoran, Kukavica, Igor
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2015
Subjects
Analyticity
Navier–Stokes equations
Strong solutions
Navier–Stokes equations
76D05
35Q30
Analyticity
Strong solutions
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Summary:We introduce a new method for establishing local analyticity and estimating the local analyticity radius of a solutions to the 3D Navier–Stokes equations at interior points. The approach is based on rephrasing the problem in terms of second order parabolic systems which are then estimated using the mild solution approach. The estimates agree with the global analyticity radius from [16] up to a logarithm.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2015.05.009