Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
By Taoufik Hmidi, Sahbi Keraani. 2006
102 citations recorded by the source corpus.
Abstract In this paper we study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove a global well-posedness result for small initial data lying in critical Besov spaces constructed over Lebesgue spaces L p , with p ∈ [ 1 , ∞ ] . Local results for arbitrary initial data are also given.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/89b3d37b2dce9f9a6551f7fd7df98825868bd88a
How researchers see this paper
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In Applied Mathematics
- Vlad Vicol
- Peter Constantin
- Michele Coti Zelati
- Jiahong Wu
- Luis Silvestre
- Changxing Miao
- Nader Masmoudi
- T. Buckmaster
In Astronomy and Astrophysics
In Mathematical Physics
- Vlad Vicol
- Peter Constantin
- Michele Coti Zelati
- Jiahong Wu
- Luis Silvestre
- Changxing Miao
- Nader Masmoudi
- Pablo Raúl Stinga
Citations in the corpus
- Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations (2007, background): “this problem has attracted a significant amount of research ([2],[3],[4],[5],[6],[7],[11],[ 13 ] [14],[15],[16],[19],[20],[21],[22], [23],[24]).”
- On the global regularity for the supercritical SQG equation (2014, result): “Similar results w ere obtained in [2, 4, 20, 24, 25] for the critical Besov spaces X = B p,1 .”