Coriolis effect on temporal decay rates of global solutions to the fractional Navier–Stokes equations

Jaewook Ahn, Junha Kim, Jihoon Lee

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The incompressible fractional Navier–Stokes equations in the rotational framework is considered. We establish the global existence result and temporal decay estimate for a unique smooth solution when the speed of rotation is sufficiently rapid. It is found that the strong rotational effect enhances the temporal decay rate of a certain norm of the velocity.

Original languageEnglish
Pages (from-to)259-289
Number of pages31
JournalMathematische Annalen
Volume383
Issue number1-2
DOIs
StatePublished - Jun 2022

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