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• W2126640530 abstract "We investigate the nonstationary Navier-Stokes equations for an exterior domain Ω ⊂ R 3 in a solution class L s ( 0 , T ; L q ( Ω ) ) of very low regularity in space and time, satisfying Serrin's condition 2 s + 3 q = 1 but not necessarily any differentiability property. The weakest possible boundary conditions, beyond the usual trace theorems, are given by u | ∂ Ω = g ∈ L s ( 0 , T ; W - 1 / q , q ( ∂ Ω ) ) , and will be made precise in this paper. Moreover, we suppose the weakest possible divergence condition k = ÷ u ∈ L s ( 0 , T ; L r ( Ω ) ) , where 1 3 + 1 q = 1 r ." @default.
• W2126640530 created "2016-06-24" @default.
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• W2126640530 date "2007-01-01" @default.
• W2126640530 modified "2023-10-01" @default.
• W2126640530 title "Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data" @default.
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• W2126640530 doi "https://doi.org/10.2969/jmsj/1180135504" @default.
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