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Analyticity estimates for the Navier-Stokes equations

Mathematical Physics 2009-08-10 v1 Analysis of PDEs math.MP

Abstract

We study spatial analyticity properties of solutions of the 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 H^r, r greater or equal 1/2, and prove a stability result for the analyticity radius.

Keywords

Cite

@article{arxiv.0907.4351,
  title  = {Analyticity estimates for the Navier-Stokes equations},
  author = {Ira Herbst and Erik Skibsted},
  journal= {arXiv preprint arXiv:0907.4351},
  year   = {2009}
}

Comments

34 pages

R2 v1 2026-06-21T13:28:49.311Z