TY - JOUR
T1 - Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
AU - Hmidi, Taoufik
AU - Keraani, Sahbi
PY - 2007/10/1
Y1 - 2007/10/1
N2 - 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 Lp, with p ∈ [1, ∞]. Local results for arbitrary initial data are also given.
AB - 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 Lp, with p ∈ [1, ∞]. Local results for arbitrary initial data are also given.
KW - 2D quasi-geostrophic equation
KW - Critical Besov spaces
KW - Local and global existence
UR - http://www.scopus.com/inward/record.url?scp=34447123394&partnerID=8YFLogxK
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U2 - 10.1016/j.aim.2007.02.013
DO - 10.1016/j.aim.2007.02.013
M3 - Article
AN - SCOPUS:34447123394
SN - 0001-8708
VL - 214
SP - 618
EP - 638
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -