Bifurcation Phenomena in Mathematical Physics and Related Topics: Proceedings of the NATO Advanced Study Institute held at Cargèse, Corsica, France, June 24-July 7, 1979: 54 (NATO Science Series C) - Hardcover

 
9789027710864: Bifurcation Phenomena in Mathematical Physics and Related Topics: Proceedings of the NATO Advanced Study Institute held at Cargèse, Corsica, France, June 24-July 7, 1979: 54 (NATO Science Series C)

Inhaltsangabe

One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lectures of J. Nuttall) and then to some problems in drop hot moment problems. (cf. the lecture of D. Bessis).

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One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lectures of J. Nuttall) and then to some problems in drop hot moment problems. (cf. the lecture of D. Bessis).

Reseña del editor

Proceedings of the NATO Advanced Study Institute, Cargèse, Corsica, June 24-July 7, 1979

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9789400990067: Bifurcation Phenomena in Mathematical Physics and Related Topics: Proceedings of the NATO Advanced Study Institute held at Cargèse, Corsica, France, June 24–July 7, 1979: 54 (Nato Science Series C:)

Vorgestellte Ausgabe

ISBN 10:  9400990065 ISBN 13:  9789400990067
Verlag: Springer, 2011
Softcover