The domain of analyticity of solutions to the three-dimensional euler equations in a half space

Igor Kukavica, Vlad C. Vicol

Research output: Contribution to journalArticlepeer-review

Abstract

We address the problem of analyticity up to the boundary of solu- tions to the Euler equations in the half space. We characterize the rate of decay of the real-analyticity radius of the solution u(t) in terms of exp ft 0||δu(s)||L∞ds, improving the previously known results. We also prove the persistence of the sub-analytic Gevrey-class regularity for the Euler equations in a half space, and obtain an explicit rate of decay of the radius of Gevrey-class regularity.

Original languageEnglish (US)
Pages (from-to)285-303
Number of pages19
JournalDiscrete and Continuous Dynamical Systems
Volume29
Issue number1
DOIs
StatePublished - Jan 2011

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The domain of analyticity of solutions to the three-dimensional euler equations in a half space'. Together they form a unique fingerprint.

Cite this