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Weak Neumann implies Stokes
-
Matthias Geissert
,
Horst Heck
Published/Copyright:
October 5, 2011
Abstract
Consider a domain Ω ⊂ ℝn with possibly non compact but uniform C3-boundary and assume that the Helmholtz projection P exists on Lp(Ω) for some 1 < p < ∞. It is shown that the Stokes operator in Lp(Ω) generates an analytic semigroup on
admitting maximal Lq-Lp-regularity. Moreover, for
there exists a unique local mild solution to the Navier–Stokes equations on domains of this form provided p > n.
Received: 2010-02-26
Revised: 2010-09-01
Published Online: 2011-10-05
Published in Print: 2012-08
©[2012] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
Articles in the same Issue
- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
