Von Karman Evolution Equations: Well-Posedness and Long Time Dynamics - Couverture rigide

Livre 70 sur 184: Springer Monographs in Mathematics

Chueshov, Igor; Lasiecka, Irena

 
9780387877112: Von Karman Evolution Equations: Well-Posedness and Long Time Dynamics
Couverture rigide
ISBN 10 : 0387877118 ISBN 13 : 9780387877112
Editeur : Springer-Verlag New York Inc., 2010

Synopsis

In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process it describes. Of particular interest are questions related to long-time behavior of solutions. Such an evolution property cannot be v- i?ed empirically, thus any in a-priori information about the long-time asymptotics can be used in predicting an ultimate long-time response and dynamical behavior of solutions. In recent years, this set of investigations has attracted a great deal of attention. Consequent efforts have then resulted in the creation and infusion of new methods and new tools that have been responsible for carrying out a successful an- ysis of long-time behavior of several classes of nonlinear PDEs.

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Présentation de l'éditeur

This book presents results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. The coverage is comprehensive and elf-contained, and the theory applies to many similar dynamics.

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Éditeur
Springer-Verlag New York Inc.
Date d'édition
2010
Langue
anglais
ISBN 10 
0387877118
ISBN 13 
9780387877112
Reliure
Relié
Nombre de pages
784
Coordonnées du fabricant
Springer-Verlag GmbH
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Autres éditions populaires du même titre

9781461425915: Von Karman Evolution Equations: Well-posedness and Long Time Dynamics

Edition présentée

ISBN 10 :  1461425913 ISBN 13 :  9781461425915
Editeur : Springer, 2012
Couverture souple