Titlebook: Recent Developments of Mathematical Fluid Mechanics; Herbert Amann,Yoshikazu Giga,Masao Yamazaki Book 2016 Springer Basel 2016 Euler equat

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Herbert Amann,Yoshikazu Giga,Masao YamazakiPresents interesting results and open questions closely related to.the Millennium Seven Problems proposed by the Clay Mathematical Institute.Authors are experts of the Navier-Stokes and the Euler equa

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Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity,sfies certain compatibility conditions, while for the general case parameter-dependent norms are used. In particular, we obtain a resolvent estimate for the general situation where no analytic semigroup is generated.

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Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criblem, considering first of all optimal initial values .(0) to yield a local in time strong solution, then criteria to prove regularity locally on subintervals of [0,?.). Special emphasis is put on results for smooth bounded and also general unbounded domains. Most criteria are based on conditions of Besov space type.

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