Energy decay for a weak solution of the Navier-Stokes equation with slowly varying external forces

Takayoshi Ogawa, Shubha V. Rajopadhye, Maria E. Schonbek

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

We consider the Navier-Stokes system with slowly decaying external forces[formula]We show that the energy norm of a weak solution has non-uniform decay,||u(t)||2→0 (t→∞),under suitable conditions on the data f and a which make the energy of solution bounded in time. Also, we show the exact rate of the decay (uniform decay) of the energy,||u(t)||2≤C(1+t),for external forces with a given explicit decay rate.

Original languageEnglish
Pages (from-to)325-358
Number of pages34
JournalJournal of Functional Analysis
Volume144
Issue number2
DOIs
Publication statusPublished - 1997 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Analysis

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