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- W2031874464 abstract "Abstract This paper is devoted to the study of the Cauchy problem for the Boussinesq system with partial viscosity in dimension N ≥ 3 . First we prove a global existence result for data in Lorentz spaces satisfying a smallness condition which is at the scaling of the equations. Second, we get a uniqueness result in Besov spaces with negative indices of regularity (despite the fact that there is no smoothing effect on the temperature). The proof relies on a priori estimates with loss of regularity for the nonstationary Stokes system with convection. As a corollary, we obtain a global existence and uniqueness result for small data in Lorentz spaces." @default.
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- W2031874464 date "2008-07-01" @default.
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- W2031874464 title "Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces" @default.
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- W2031874464 doi "https://doi.org/10.1016/j.physd.2008.03.034" @default.
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