Transport-diffusion et viscosité évanescente

Translated title of the contribution: Convection-diffusion and vanishing viscosity

Taoufik Hmidi

Research output: Contribution to journalArticlepeer-review


In this paper, we study a convection-diffusion model with respect to a vector field having log-Lipschitz regularity. More precisely, we are interested in the viscous repartition of the mass for the solutions of the corresponding equation. We prove that mass is essentially concentrated around the image, through the flow, of the initial support. This allows us, for non-regular bidimensional vortex patches, to prove the global Lp convergence of the Navier-Stokes vorticity ων to the Eulerian vorticity ω, with p > 1.

Translated title of the contributionConvection-diffusion and vanishing viscosity
Original languageFrench
Pages (from-to)309-312
Number of pages4
JournalComptes Rendus Mathematique
Issue number5
StatePublished - Sep 1 2003

ASJC Scopus subject areas

  • General Mathematics


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