Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition

Yoshihiro Shibata, Senjo Shimizu

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

In this paper, we obtain local energy decay estimates and L p-Lq estimates of the solutions to the Stokes equations with Neumann boundary condition which is obtained as a linearized equation of the free boundary problem for the Navier-Stokes equations. Comparing with the non-slip boundary condition case, we have a better decay estimate for the gradient of the semigroup because of the null force at the boundary.

Original languageEnglish
Pages (from-to)1-34
Number of pages34
JournalJournal of the Mathematical Society of Japan
Volume59
Issue number1
DOIs
Publication statusPublished - 2007 Jan

Keywords

  • L-L estimates
  • Local energy decay
  • Neumann boundary condition
  • Stokes semigroup

ASJC Scopus subject areas

  • Mathematics(all)

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