数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
6期
1741-1748
,共8页
quasi-geostrophic equations%global regularity%maximum principle
We consider the n-dimensional modified quasi-geostrophic (SQG) equations?tθ+u ·?θ+κΛαθ=0, u=Λα?1R⊥θwithκ>0,α∈(0, 1] andθ0∈W 1,∞(Rn). In this paper, we establish a different proof for the global regularity of this system. The original proof was given by Constantin, Iyer, and Wu [5], who employed the approach of Besov space techniques to study the global existence and regularity of strong solutions to modified critical SQG equations for two dimensional case. The proof provided in this paper is based on the nonlinear maximum principle as well as the approach in Constantin and Vicol [2].
