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The analytical basis of Navier-Stokes Equations in Irregular
Domains is formed by coercive estimates, which enable proofs to be
given of the solvability of the boundary value problems for Stokes
and Navier-Stokes equations in weighted Sobolev and Holder spaces,
and the investigation of the smoothness of their solutions. This
allows one to deal with the special problems that arise in the
presence of edges or angular points in the plane case, at the
boundary or noncompact boundaries. Such problems cannot be dealt
with in any of the usual ways. Audience Graduate students, research
mathematicians and hydromechanicians whose work involves functional
analysis and its applications to Navier-Stokes equations. "
The analytical basis of Navier-Stokes Equations in Irregular
Domains is formed by coercive estimates, which enable proofs to be
given of the solvability of the boundary value problems for Stokes
and Navier-Stokes equations in weighted Sobolev and Holder spaces,
and the investigation of the smoothness of their solutions. This
allows one to deal with the special problems that arise in the
presence of edges or angular points in the plane case, at the
boundary or noncompact boundaries. Such problems cannot be dealt
with in any of the usual ways. Audience Graduate students, research
mathematicians and hydromechanicians whose work involves functional
analysis and its applications to Navier-Stokes equations. "
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