Tools and Methods

Matthias Köhne

Chapter 4 in Lp-Theory for Incompressible Newtonian Flows, 2013, pp 67-100 from Springer

Abstract: Abstract The proof of Theorem 3.30, which will be carried out in the next chapters, requires a fair amount of tools and methods, which should be collected here. First of all, it will sometimes be convenient to construct auxiliary solutions for the pressure via weak elliptic problems as employed in 3.41 and for the velocity via parabolic systems as (3.2). Hence, an L p -theory for these types of problems is needed.

Keywords: Banach Space; Stokes Equation; Neumann Problem; Functional Calculus; Parabolic Problem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-658-01052-2_4

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