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Solvability of a boundary value problem for steady Stokes equations in a sectorial domain

Journal of Elliptic and Parabolic Equations, ISSN: 2296-9039, Vol: 10, Issue: 2, Page: 839-858
2024
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Article Description

We investigate a boundary value problem for steady Stokes equations in a sectorial domain. The problem appears in the analysis of a free boundary problem for Navier–Stokes equations that describe the non-steady motion of an incompressible viscous capillary fluid with moving contact points. We prove the existence of a unique solution in weighted Sobolev spaces and derive estimates in the norms of these spaces.

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