Nonlinear Waves in Networks - Couverture souple

Mehmeti, Felix Ali

Couverture souple

ISBN 10 : 3055016408 ISBN 13 : 9783055016400

Editeur : Wiley-VCH Verlag GmbH, 1994

Synopsis

The main topic of this text is the well-posedness locally in time, of quasilinear wave equations on one-dimensional networks with linear transmission conditions. Such problems arise for example in the modelling of transversal vibrations of networks of strings. The setting serves as a model case for the systematic study, with T. Kato's theory, of the phenomenon of nonlinear compatibility conditions arising if regular solutions are desired. This phenomenon is bound to occur always if hyperbolic evolution is combined with all kinds of coupling conditions. The connections of the results to a concept, previously proposed by the author, for the description of complicated interactions between media (of possibly varying space dimension) with time evolution, are described. A strategy for physical legitimations of linear mechanical coupling models, the systematic derivation of physical laws and of the asymptotics of frequencies of eigenmodes are outlined. As applications of this interaction concept, small vibrations of membranes with conic boundary-points and a membrane-string-coupling are considered.

Détails de l'édition

• Éditeur: Wiley-VCH Verlag GmbH
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 3055016408
• ISBN 13: 9783055016400
• Reliure: Broché
• Nombre de pages: 172
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible