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Recent developments in the Navier-Stokes problem (Chapman & Hall/CRC Research Notes in Mathematics Series) - Pierre Gilles Lemarie-Rieusset
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ISBN: 1584882204

[SR: 5447961], Hardcover, [EAN: 9781584882206], CRC Press, CRC Press, Book, [PU: CRC Press], CRC Press, The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990's culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer. Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis.Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem's intricacies from a new and enlightening perspective., 13592, Earth Sciences, 16053161, Atmospheric Sciences, 226695, Cartography, 16053231, Climatology, 13577, Crystallography, 13596, Earthquakes & Volcanoes, 13529, Ecology, 13598, Environmental Science, 226694, Geochemistry, 13602, Geography, 13603, Geology, 13605, Geophysics, 13665, Hydrology, 13615, Mineralogy, 13617, Natural Disasters, 13625, Rivers, 14538, Rocks & Minerals, 13628, Seismology, 14484, Weather, 75, Science & Math, 1000, Subjects, 283155, Books, 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13983, Probability & Statistics, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14567, Mathematical Physics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 14569, Mechanics, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491730, Earth Sciences, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491548, Statistics, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 684291011, Mechanics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 491732, Physics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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ISBN: 9781584882206

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The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990''s culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer.Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis.Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem''s intricacies from a new and enlightening perspective. Pierre Gilles Lemarie-rieusset, Books, Science and Nature, Recent Developments in the Navier-Stokes Problem Books>Science and Nature, Taylor and Francis

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[EAN: 9781584882206], Neubuch, [PU: Taylor & Francis US], RECENT DEVELOPMENTS IN THE NAVIER-STOKES PROBLEM, Mathematics|Advanced, Mathematics|Probability & Statistics|General, Science|Mechanics|General, PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK.

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Recent developments in the Navier-Stokes problem (Chapman & Hall/CRC Research Notes in Mathematics Series) - Pierre Gilles Lemarie-Rieusset
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Recent developments in the Navier-Stokes problem (Chapman & Hall/CRC Research Notes in Mathematics Series) - gebunden oder broschiert

2002, ISBN: 1584882204

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Recent Developments in the Navier-Stokes Problem

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.

Detailangaben zum Buch - Recent Developments in the Navier-Stokes Problem


EAN (ISBN-13): 9781584882206
ISBN (ISBN-10): 1584882204
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2002
Herausgeber: CHAPMAN & HALL
408 Seiten
Gewicht: 0,717 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 03.05.2007 22:59:39
Buch zuletzt gefunden am 14.11.2017 14:45:02
ISBN/EAN: 1584882204

ISBN - alternative Schreibweisen:
1-58488-220-4, 978-1-58488-220-6


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