Note on the weak–strong uniqueness criterion for the β-QG in Morrey–Campanato space
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摘要
Consider the β-quasi-geostrophic equations with the initial data θ0∈L2(R2). Let θ and θ˜ be two weak solutions with the same initial value θ0. If θ satisfies the energy inequality and if ∇θ∈Lr0,T;M.p,q(R2)with2p+αr=α+β−1and2α+β−1
论文关键词:Quasi-geostrophic equation,Weak–strong uniqueness criterion,Morrey–Campanato space
论文评审过程:Received 20 August 2015, Revised 2 April 2016, Accepted 8 August 2016, Available online 29 August 2016, Version of Record 29 August 2016.
论文官网地址:https://doi.org/10.1016/j.amc.2016.08.011