ar X iv : 0 80 3 . 13 18 v 1 [ m at h . A P ] 9 M ar 2 00 8 GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI - GEOSTROPHIC EQUATION
نویسنده
چکیده
In this paper, we consider the modified quasi-geostrophic equation ∂tθ + (u · ∇) θ + κΛ θ = 0 u = ΛRθ. with κ > 0, α ∈ (0, 1] and θ0 ∈ L(R). We remark that the extra Λ is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-geostrophic equations. In this paper, we use Besov space techniques to prove global existence and regularity of strong solutions to this system.
منابع مشابه
Global Regularity for a Modified Critical Dissipative Quasi-geostrophic Equation
In this paper, we consider the modified quasi-geostrophic equation ∂tθ + (u · ∇) θ + κΛθ = 0 u = Λα−1R⊥θ. with κ > 0, α ∈ (0, 1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-geostrophic equations. In this paper, we use Besov space techniques to prove global existence an...
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