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Viscous Flows in Besov Spaces

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Advances in Mathematical Fluid Mechanics

Abstract

The Navier-Stokes equations did not yet exist when J. Fourier gave the explicit solution of the heat equation

$$\left\{ {\begin{array}{*{20}{c}} {\frac{{\partial u}}{{\partial t}} - \Delta u = f} \hfill \\ {u(0) = {{u}_{0}}.} \hfill \\ \end{array} } \right.$$
(1)

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  1. UMR 7599 du CNRS, UFR Mathématiques, Université Denis Diderot Paris VII, 2 Place Jussieu, 75251, Paris Cedex 05, France

    Marco Cannone

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  1. Mathematical Institute, Charles University, Sokolovská 83, 18675, Prague 8, Czech Republic

    Josef Málek , Jindřich Nečas  & Mirko Rokyta ,  & 

  2. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115-2888, USA

    Jindřich Nečas

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Cannone, M. (2000). Viscous Flows in Besov Spaces. In: Málek, J., Nečas, J., Rokyta, M. (eds) Advances in Mathematical Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57308-8_1

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