论文信息 - Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular

Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular

Abstract The aim of this work is twofold: proving the existence of solution ( u , π ) ∈ H 1 ( Ω ) × L 2 ( Ω ) in bounded domains of R 2 and the whole plane for the Oseen problem ( O ) for solenoidal vector fields v in L 2 ( Ω ) , and analyzing the same problem in bounded domains of R n for n = 2 , 3 when h = 0 , g = 0 and the solenoidal field v belongs to L s ( Ω ) for s n .

M. A. Rodríguez-Bellido | Chérif Amrouche | C. Amrouche | M. A. Rodríguez-Bellido

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