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On the uniqueness for sub-critical quasi-geostrophic equations

On the uniqueness for sub-critical quasi-geostrophic equations

We prove uniqueness of mild solutions in the class C([0,T );L n 2γ-1 ), 0 < T ≤ ∞, for sub-critical quasi-geostrophic equations without assuming any smallness condition.As a consequence, any mild solution in C([0,∞);L 2 2γ-1 ) satisfies the regularity and decay properties given in the previous paper [4].The …