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From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space

✍ Scribed by Amrouche, Chérif; Nečasová, Šárka; Raudin, Yves


Book ID
118197788
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
323 KB
Volume
41
Category
Article
ISSN
0036-1410

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We consider the 3D Navier-Stokes equation with generalized impermeability boundary conditions. As auxiliary results, we prove the local in time existence of a strong solution ('strong' in a limited sense) and a theorem on structure. Then, taking advantage of the boundary conditions, we formulate suf