Global regularity for modified critical dissipative quasi-geostrophic equations |
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Authors: | Wanrong YANG Quansen JIU |
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Affiliation: | 1. Department of Mathematics, Beifang University of Nationalities, Ningxia 750021, China;2. Department of Mathematics, Capital Normal University, Beijing 100037, China |
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Abstract: | We consider the n-dimensional modified quasi-geostrophic (SQG) equationswith κ > 0, α ∈ (0,1] and θ0 ∈ W1, ∞ (?n). 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]. |
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Keywords: | quasi-geostrophic equations global regularity maximum principle |
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