Amrouche, ChérifRodríguez Bellido, María Ángeles2022-10-282022-10-282019-05-15Amrouche, C. y Rodríguez Bellido, M.Á. (2019). Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular. Applied mathematics letters, 91, 220-226. https://doi.org/10.1016/j.aml.2018.12.017.0893-9659https://hdl.handle.net/11441/138460The aim of this work is twofold: proving the existence of solution (u,π)∈H1(Ω)×L2(Ω) in bounded domains of R2 and the whole plane for the Oseen problem (O) for solenoidal vector fields v in L2(Ω), and analyzing the same problem in bounded domains of Rn for n=2,3 when h=0, g=0 and the solenoidal field v belongs to Ls(Ω) for s<n.application/pdf6 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Oseen equationsStationary solutionsIrregular dataHardy spacesWeak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regularinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.aml.2018.12.017