Incompressible viscous flows in borderline Besov spaces

Taoufik Hmidi; Sahbi Keraani

doi:10.1007/s00205-008-0115-7

Incompressible viscous flows in borderline Besov spaces

Taoufik Hmidi, Sahbi Keraani

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity B_p,1 ^{2/p + 1}, with p ∈ ]2, + ∞], for the two-dimensional Navier-Stokes equations with uniform bounds on the viscosity. We provide also an inviscid global result.

Original language	English (US)
Pages (from-to)	283-300
Number of pages	18
Journal	Archive for Rational Mechanics and Analysis
Volume	189
Issue number	2
DOIs	https://doi.org/10.1007/s00205-008-0115-7
State	Published - Aug 2008

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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abstract = "We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity Bp,1 2/p + 1, with p ∈ ]2, + ∞], for the two-dimensional Navier-Stokes equations with uniform bounds on the viscosity. We provide also an inviscid global result.",

author = "Taoufik Hmidi and Sahbi Keraani",

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AU - Keraani, Sahbi

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AB - We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity Bp,1 2/p + 1, with p ∈ ]2, + ∞], for the two-dimensional Navier-Stokes equations with uniform bounds on the viscosity. We provide also an inviscid global result.

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Incompressible viscous flows in borderline Besov spaces

Abstract

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