Artículos relacionados a Nearly Integrable Infinite-Dimensional Hamiltonian...

Nearly Integrable Infinite-Dimensional Hamiltonian Systems: 1556 (Lecture Notes in Mathematics, 1556) - Tapa blanda

Kuksin, Sergej B.

 
9783540571612: Nearly Integrable Infinite-Dimensional Hamiltonian Systems: 1556 (Lecture Notes in Mathematics, 1556)
Tapa blanda
ISBN 10: 3540571612 ISBN 13: 9783540571612
Editorial: Springer, 2009

Sinopsis

The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE’s with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE’s. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3540571612
ISBN 13 
9783540571612
Encuadernación
Tapa blanda
Número de páginas
132
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Alemania