Titlebook: Navier-Stokes Equations in Irregular Domains; Liudas Stupelis Book 1995 Springer Science+Business Media Dordrecht 1995 Boundary value prob

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The First Boundary Value Problem in a Given Domain,4.1–4.3. In Section 4.4, we present a simple proof that the first boundary value problem for the Stokes system in a bounded three-dimensional domain, whose boundary consists of two smooth components intersecting under a non-zero varying angle, has a unique solution in weighted Sobolev spaces.

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Book 1995lity of the boundary valueproblems for Stokes and Navier-Stokes equations in weightedSobolev and Hölder spaces, and the investigation of thesmoothness of their solutions. This allows one to deal with thespecial problems that arise in the presence of edges or angular pointsin the plane case, at the b

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The First Boundary Value Problem in a Given Domain,ains with noncompact boundaries. Properties of differential operators in Hölder, weighted Hölder, and weighted Sobolev spaces are studied in Sections 4.1–4.3. In Section 4.4, we present a simple proof that the first boundary value problem for the Stokes system in a bounded three-dimensional domain,

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