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• W3154127908 abstract "The aim of this paper is to develop a layer potential theory in L2-based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ℝ n , n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient satisfying an ellipticity condition for symmetric matrices with zero matrix trace. To do this, we explore equivalent mixed variational formulations and prove the well-posedness of some transmission problems for the anisotropic Stokes system in Lipschitz domains of ℝ n , with the given data in L2-based weighted Sobolev spaces. These results are used to define the volume (Newtonian) and layer potentials and to obtain their properties. Then, we analyze the well-posedness of the exterior Dirichlet and Neumann problems for the anisotropic Stokes system with L∞ symmetrically elliptic tensor coefficient by representing their solutions in terms of the obtained volume and layer potentials." @default.
• W3154127908 created "2021-04-26" @default.
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• W3154127908 date "2021-05-07" @default.
• W3154127908 modified "2023-09-27" @default.
• W3154127908 title "Layer potential theory for the anisotropic Stokes system with variable <i>L</i> _<i>∞</i> symmetrically elliptic tensor coefficient" @default.
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• W3154127908 doi "https://doi.org/10.1002/mma.7167" @default.
• W3154127908 hasPublicationYear "2021" @default.
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