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- W2010395230 abstract "In this article we consider the following generalized quasi-geostrophic equation∂tθ+u⋅∇θ+νΛβθ=0,u=ΛαR⊥θ,x∈R2, where ν>0, Λ:=−Δ, α∈]0,1[ and β∈]0,2[. We first show a general conditional criterion yielding the nonlocal maximum principles for the whole space active scalars, then mainly by applying the general criterion, for the case α∈]0,1[ and β∈]α+1,2] we obtain the global well-posedness of the system with smooth initial data; and for the case α∈]0,1[ and β∈]2α,α+1] we prove the local smoothness and the eventual regularity of the weak solution of the system with appropriate initial data." @default.
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- W2010395230 date "2011-11-01" @default.
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- W2010395230 title "On the regularity of a class of generalized quasi-geostrophic equations" @default.
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- W2010395230 doi "https://doi.org/10.1016/j.jde.2011.04.018" @default.
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