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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Anisotropic Viscosity
verfasst von : Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin
Erschienen in: Fourier Analysis and Nonlinear Partial Differential Equations
Verlag: Springer Berlin Heidelberg
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In order to emphasize the robustness of the tools that have been introduced hitherto in this book, we present in Chapter 6 a nonlinear system of partial differential equations with degenerate parabolicity. In fact, we show that some of the classical results for the Navier–Stokes system may be extended to the case where there is no vertical diffusion. Most of the results of this chapter are based on the use of an
anisotropic
Littlewood–Paley decomposition.