Recent Developments in the Navier-Stokes Problem

Informationen zum Autor Pierre Gilles Lemarie-Rieusset Klappentext Despite their importance and the amount of research published on the theory of the Navier-Stokes equations, some very elementary and fundamental questions remain unanswered. In this book, the author explores two main topics: the search for mild solutions using the tools of real harmonic analysis, and the 1982 regularity criterion of Caffarelli et al., which has produced many results on the existence or non-existence of solutions. The book includes a self-contained introduction to real harmonic analysis, addresses both strong solutions by direct methods and weak solutions by indirect methods, and presents new tools, including Besov spaces and wavelets. Zusammenfassung Despite their importance and the amount of research published on the theory of the Navier-Stokes equations, some very elementary and fundamental questions remain unanswered. This book explores two main topics: the search for mild solutions using the tools of real harmonic analysis, and the 1982 regularity criterion of Caffarelli et al. Inhaltsverzeichnis Introduction. Some Results of Real Harmonic Analysis. A General Framework for Shift-Invariant Estimates for the Navier-Stokes Equations. Classical Existence Results for the Navier-Stokes Equations. New Approaches of Mild Solutions. Decay and Regularity Results for Weak and Mild Solutions. Local Energy Inequalities for the Navier-Stokes Equations on R3. Conclusion. References. Bibliography. Index Nominum. Index Rerum.

Product details

• Authors: P.g. Lemaire-Rieusset, Pierre Gilles Lemarie, LEMARIE RIEUSSET PIERRE GILLES, P. G. Lemarie-Rieusset, Pierre Gilles Lemarie-Rieusset, Pierre Gilles (University of Evr Lemarie-Rieusset, Pierre Gilles (University of Evry Val d'Essonne Lemarie-Rieusset, Pierre-Gilles Lemarie-Rieusset
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 26.04.2002
• EAN: 9781584882206
• ISBN: 978-1-58488-220-6
• No. of pages: 408
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research No; Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, SCIENCE / Physics / Mathematical & Computational, Mathematics