The Convergence Problem for Dissipative Autonomous Systems Classical

The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the

  • PDF / 2,178,857 Bytes
  • 147 Pages / 439.37 x 666.142 pts Page_size
  • 101 Downloads / 193 Views

DOWNLOAD

REPORT


Alain Haraux Mohamed Ali Jendoubi

The Convergence Problem for Dissipative Autonomous Systems Classical Methods and Recent Advances 123

SpringerBriefs in Mathematics Series editors Nicola Bellomo, Torino, Italy Michele Benzi, Atlanta, USA Palle E.T. Jorgensen, Iowa City, USA Tatsien Li, Shanghai, China Roderick Melnik, Waterloo, Canada Otmar Scherzer, Vienna, Austria Benjamin Steinberg, New York, USA Lothar Reichel, Kent, USA Yuri Tschinkel, New York, USA G. George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA

SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians.

BCAM SpringerBriefs Editorial Board Enrique Zuazua BCAM—Basque Center for Applied Mathematics & Ikerbasque Bilbao, Basque Country, Spain Irene Fonseca Center for Nonlinear Analysis Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, USA Juan J. Manfredi Department of Mathematics University of Pittsburgh Pittsburgh, USA Emmanuel Trélat Laboratoire Jacques-Louis Lions Institut Universitaire de France Université Pierre et Marie Curie CNRS, UMR, Paris Xu Zhang School of Mathematics Sichuan University Chengdu, China BCAM SpringerBriefs aims to publish contributions in the following disciplines: Applied Mathematics, Finance, Statistics and Computer Science. BCAM has appointed an Editorial Board, who evaluate and review proposals. Typical topics include: a timely report of state-of-the-art analytical techniques, bridge between new research results published in journal articles and a contextual literature review, a snapshot of a hot or emerging topic, a presentation of core concepts that students must understand in order to make independent contributions. Please submit your proposal to the Editorial Board or to Francesca Bonadei, Executive Editor Mathematics, Statistics, and Engineering: [email protected]

More information about this series at http://www.springer.com/series/10030

Alain Haraux Mohamed Ali Jendoubi •

The Convergence Problem for Dissipative Autonomous Systems Classical Methods and Recent Advances

123

Alain Haraux Laboratoire Jacques-Louis Lions Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7598 Paris France

Mohamed Ali Jendoubi Institut Préparatoire aux Etudes Scientifiques et Techniques Université de Carthage La Marsa Tunisia and Faculté des sciences de Tunis, Laboratoire EDP-LR03ES04 Université de Tunis El Manar Tunis Tunisia

ISSN 2191-8198 SpringerBriefs in Mathematics ISBN 978-3-319-23406-9 DOI 10.1007/978-3-319-23407-6

ISSN 2191-8201

(electronic)

ISBN 978-3-319-23407-6

(eBook)

Library of Congress Control Number: 2015949305 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 2015 This work is subject to copyright. All rights are reserved by the Publisher, whe