Nonlinear Equations With Small Parameter: Waves and Boundary Problems - Couverture rigide

Livre 25 sur 39: De Gruyter Series in Nonlinear Analysis and Applications

Glebov, Sergey G.; Kiselev, Oleg M.; Tarkhanov, Nikolai N.

 
9783110533835: Nonlinear Equations With Small Parameter: Waves and Boundary Problems
Couverture rigide
ISBN 10 : 3110533839 ISBN 13 : 9783110533835
Editeur : De Gruyter, 2018

Synopsis

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

S. G. Glebov, Ufa St. Petr. Tech. Univ., Russia; O. M. Kiselev, Ufa Sci. Center, Russia; N. N. Tarkhanov, Univ. of Potsdam, Germany.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
De Gruyter
Date d'édition
2018
Langue
anglais
ISBN 10 
3110533839
ISBN 13 
9783110533835
Reliure
Relié
Nombre de pages
441
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