Analysis of Generalized Newtonian Fluids
In this paper we want to present an optimal existence result for the steady motion of generalized Newtonian fluids. Moreover, we present an optimal error estimate for a FEM approximation of the corresponding steady p-Stokes system. The presented results a
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ter Constantin Arnaud Debussche Giovanni P. Galdi Michael Růžička Gregory Seregin
Topics in Mathematical Fluid Mechanics Cetraro, Italy 2010 Editors: Hugo Beirão da Veiga, Franco Flandoli
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan B. Teissier, Paris
For further volumes: http://www.springer.com/series/304
2073
Fondazione C.I.M.E., Firenze C.I.M.E. stands for Centro Internazionale Matematico Estivo, that is, International Mathematical Summer Centre. Conceived in the early fifties, it was born in 1954 in Florence, Italy, and welcomed by the world mathematical community: it continues successfully, year for year, to this day. Many mathematicians from all over the world have been involved in a way or another in C.I.M.E.’s activities over the years. The main purpose and mode of functioning of the Centre may be summarised as follows: every year, during the summer, sessions on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. A Session is generally based on three or four main courses given by specialists of international renown, plus a certain number of seminars, and is held in an attractive rural location in Italy. The aim of a C.I.M.E. session is to bring to the attention of younger researchers the origins, development, and perspectives of some very active branch of mathematical research. The topics of the courses are generally of international resonance. The full immersion atmosphere of the courses and the daily exchange among participants are thus an initiation to international collaboration in mathematical research. C.I.M.E. Director Pietro ZECCA Dipartimento di Energetica “S. Stecco” Universit`a di Firenze Via S. Marta, 3 50139 Florence Italy e-mail: [email protected]
C.I.M.E. Secretary Elvira MASCOLO Dipartimento di Matematica “U. Dini” Universit`a di Firenze viale G.B. Morgagni 67/A 50134 Florence Italy e-mail: [email protected]
For more information see CIME’s homepage: http://www.cime.unifi.it CIME activity is carried out with the collaboration and financial support of: - INdAM (Istituto Nazionale di Alta Matematica) - MIUR (Ministero dell’ Instruzione, dell’Universit`a e della Ricerca)
Peter Constantin Arnaud Debussche Giovanni P. Galdi Michael R˚uzˇ iˇcka Gregory Seregin
Topics in Mathematical Fluid Mechanics Cetraro, Italy 2010 Editors: Hugo Beir˜ao da Veiga Franco Flandoli
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Peter Constantin Department of Mathematics Princeton University Princeton, NJ, USA
Michael R˚uzˇ iˇcka Institute for Applied Mathematics Freiburg University Freiburg, Germany
Arnaud Debussche D´epartement de Math´ematiques ENS Cachan Bruz, France
Gregory Seregin OxPDE, Mathematical Institute Oxford University Oxford, United Kingdom
Giovanni P. Galdi Department of Mechanical Engineering University of Pittsburgh Pittsburgh, PA, USA
ISBN 978-3-642-36296-5 ISBN 978-3-642-36297-2 (eBook) DOI 10.1007/978-3-642-36297-2 Springer Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic editi
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