Analyticity estimates for the Navier-Stokes equations

I. Herbst; Erik Skibsted

doi:10.1016/j.aim.2011.05.026

Analyticity estimates for the Navier-Stokes equations

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

11 Citationer (Scopus)

Abstract

We study spatial analyticity properties of solutions of the three-dimensional Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equations with data in Hr, r≥1/2, and prove a stability result for the analyticity radius.

Originalsprog	Engelsk
Tidsskrift	Advances in Mathematics
Vol/bind	228
Nummer	4
Sider (fra-til)	1990-2033
Antal sider	44
ISSN	0001-8708
DOI	https://doi.org/10.1016/j.aim.2011.05.026
Status	Udgivet - 2011

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AU - Skibsted, Erik

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AB - We study spatial analyticity properties of solutions of the three-dimensional Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equations with data in Hr, r≥1/2, and prove a stability result for the analyticity radius.

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DO - 10.1016/j.aim.2011.05.026

M3 - Journal article

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SN - 0001-8708

VL - 228

SP - 1990

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JO - Advances in Mathematics

JF - Advances in Mathematics

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ER -

Analyticity estimates for the Navier-Stokes equations

Abstract

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