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Analyticity estimates for the Navier-Stokes equations

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  • I. Herbst, Department of Mathematics, University of Virginia, United States
  • Erik Skibsted
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.
Original languageEnglish
JournalAdvances in Mathematics
Volume228
Issue4
Pages (from-to)1990-2033
Number of pages44
ISSN0001-8708
DOIs
Publication statusPublished - 2011

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