Global H¹ ∩ H^-1 solutions to a logarithmically regularized 2D Euler equation

2012/10/02 by Hongjie Dong, Dong Li, Dong, Hongjie +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1210.0605

8 pages

arxiv created 2012/10/02 · arxiv updated 2012/10/03

Abstract

We construct global H¹∩ H^-1 solutions to a logarithmically modified 2D Euler vorticity equation. Our main tool is a new logarithm interpolation inequality which exploits the L^∞--conservation of the vorticity.

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