Contributions to Current Challenges in Mathematical Fluid Mechanics
This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and repre
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John G. Heywood Department of Mathematics University of British Columbia Vancouver BC Canada V6T 1Y4 e-mail: [email protected]
Rolf Rannacher Institut fur Angewandte Mathematik Universitat Heidelberg 1m Neuenheimer Feld 293/294 69120 Heidelberg Germany e-mail: [email protected]
Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the journal of Mathematical Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics. The monographs and collections of works published here may be written in a more expository style than is usual for research journals, with the intention of reaching a wide audience. Collections of review articles will also be sought from time to time.
Contributions to Current Challenges in Mathematical Fluid Mechanics Giovanni P. Galdi John G. Heywood Rolf Rannacher Editors
Springer Basel AG
Editors: Giovanni P. Galdi School of Engineering Department of Mechanical Engineering University of Pittsburgh 3700 O'Hara Street Pittsburgh, PA 15261 USA e-mail: [email protected]
John G. Heywood Department of Mathematics University of British Columbia Vancouver BC Canada V6T 1Y4 e-mail: [email protected]
Rolf Rannacher Institut fur Angewandte Mathematik Universitat Heidelberg Im Neuenheimer Feld 293/294 69120 Heidelberg Germany e-mail: [email protected]
2000 Mathematical Subject Classification 76005, 35Q30, 76N10
A CI Pcatalogue record for this book is available from the Library of Congress, Washington O.c., USA Bibliographic information published by Die Oeutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at ISBN 978-3-0348-9606-1 ISBN 978-3-0348-7877-7 (eBook) DOI 10.1007/978-3-0348-7877-7
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© 2004 Springer Basel AG Originally published by Birkhăuser Verlag ,Basel, Switzerland in 2004 Softcover reprint of the hardcover 1st edition 2004 Printed on acid-free oaper produced from chlorine-free pulp. TCF
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ISBN 978-3-0348-9606-1
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Contents Preface ...................................................................... vii
A. Biryuk On Multidimensional Burgers Type Equations with Small Viscosity 1. Introduction ...........................
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