Viscous Flows in Besov Spaces

Marco Cannone ()
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Marco Cannone: UFR Mathématiques, Université Denis Diderot Paris VII, UMR 7599 du CNRS

A chapter in Advances in Mathematical Fluid Mechanics, 2000, pp 1-34 from Springer

Abstract: Abstract The Navier-Stokes equations did not yet exist when J. Fourier gave the explicit solution of the heat equation 1 $$\left\{ {\begin{array}{*{20}{c}} {\frac{{\partial u}}{{\partial t}} - \Delta u = f} \hfill \\ {u(0) = {{u}_{0}}.} \hfill \\ \end{array} } \right.$$

Keywords: Cauchy Problem; Viscous Flow; Besov Space; Mild Solution; Exterior Domain (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-3-642-57308-8_1

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