Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains

Reinhard Farwig (), Hideo Kozono () and Hermann Sohr ()
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Reinhard Farwig: Darmstadt University of Technology, Department of Mathematics
Hideo Kozono: Waseda University, Department of Mathematics
Hermann Sohr: University of Paderborn, Faculty of Electrical Engineering, Informatics and Mathematics, Department of Mathematics

Chapter 8 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 419-459 from Springer

Abstract: Abstract To solve the (Navier-)Stokes equations in general smooth domains Ω ⊂ ℝ n $$\Omega \subset \mathbb{R}^{n}$$ , the spaces L ̃ q ( Ω ) $$\tilde{L}^{q}(\Omega )$$ defined as L q ∩ L2 when 2 ≤ q

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_8

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