Analyticity up to the boundary for the stokes and the Navier-Stokes systems

Guher Camliyurt, Igor Kukavica, Vlad Vicol

Research output: Contribution to journalArticle

Abstract

We consider the Stokes and Navier-Stokes equations in a bounded domain with analytic boundary. We present a direct, robust, energy-type approach for establishing the instantaneous gain of space-time analyticity of the solution from any Sobolev smooth initial datum, with analyticity radius which is uniform up to the curved boundary.

Original languageEnglish (US)
Pages (from-to)3375-3422
Number of pages48
JournalTransactions of the American Mathematical Society
Volume373
Issue number5
DOIs
StatePublished - 2020

Keywords

  • Bounded domain
  • Gevrey regularity
  • Real analyticity
  • Stokes equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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