Weak-strong uniqueness criterion for the beta -generalized surface quasi-geostrophic equation |
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| Authors: | Jihong Zhao Qiao Liu |
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| Affiliation: | 1. Institute of Applied Mathematics, College of Science, Northwest A&F University, Yangling, 712100, Shaanxi, People’s Republic of China
2. Department of Mathematics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China
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| Abstract: | We prove that weak-strong uniqueness holds for the $beta $ -generalized surface quasi-geostrophic equation in the regular class $nabla theta in L^{q}(0,T; L^{p}(mathbb{R }^{2}))$ with $frac{alpha }{q}+frac{2}{p}=alpha +beta -1$ , where $alpha in (0,1], beta in [1,2)$ and $frac{2}{alpha +beta -1} . |
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