Global existence and uniqueness of weak solutions in critical spaces for a mathematical model in superfluidity |
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| Authors: | Jishan Fan Guoxi Ni |
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| Affiliation: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China;2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China |
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| Abstract: | We prove the global‐in‐time existence and uniqueness of weak solutions in critical spaces for a mathematical model in superfluidity, with initial data ψ0,A0 ∈ L3,u0 ∈ L3 ∕ 2,u0 ≥ 0 in three dimension and  in two dimension. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | critical spaces uniqueness weak solution superfluids |
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