Solution of Variational Inequalities in Mechanics
The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directi
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Courant Institute of Mathematical Sciences
New York University New York, NY 10012
J.E. Marsden
Department of Mathematics
University of California Berkeley, CA 94720
Lawrence Sirovich
Division of Applied Mathematics
Brown University Providence, RI 02912
ADVISORS M. Ghil University of California, Los Angeles J.K. Hale Brown University J. Keller Stanford University
K. Kirchgassner Universitat Stuttgart B. Matkowsky Northwestern University J.T. Stuart Imperial College A. Weinstein University of California
EDITORIAL STATEMENT The mathematization of aII sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematlcalcomputer modelling and the necessity of scientific planning aII create the need both in educatlon and research for books that are introductory to and abreast of these developments. The purpose of this series is to provide such bOoks, suitable for the user of mathematics, the mathematician interested in appllcatlons, and the student scientist. In particular, thls series will provide an outlet for material less formally presented and more anticipatory of needs than flnlshed texts or monographs, yet of Immedlate Interest because of the novelty of its treatment of an application or of mathematics belng applied or Iying close to applications. The aim of the series is, through rapid publicatlon in an attractive but Inexpenslve format, to make material of current interest widely accesslble. This implies the absence of excessive generality and abstraction, and unrealistic idealization, but wlth quality of exposltion as a goal. Many of the books will origlnate out of and will stimulate the development of new undergraduate and graduate courses in the applications of mathematics. Some of the books wlll present Introductlons to new areas of research, new applications and act as slgnposts for new dlrections in the mathematical sciences. This series wlll often serve as an intermediate stage of the publicatlon of material which, through exposure here, will be further developed and refined. These will appear in conventional format and In hard cover.
MANUSCRIPTS The Edltors welcome aII inquirles regardlng the submlssion of manuscripts for the series. Final preparation of aII manuscripts will take place in the editorial offices of the serles In the Divlslon of Applied Mathematics, Brown Unlversity, Providence, Rhode Island. SPRINGER SCIENCE+BUSlNESS MEDIA, LLC
Applied Mathematical Sciences I Volume 66
Applied Mathematical Sciences 1. 2. 3. 4. 5. 6.
John: Partial Differential Equations, 4th ed. Sirovich: Techniques of Asymptotic Analysis. Hale: Theory of Functional Differential Equations, 2nd ed. Percus: Combinatorial methods. von Mises/Friedrichs: Flid Dynamics. Freiberger/Grcnandcr: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 11. Wolovich: Linear MuItivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BIuman/Co
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