Von Karman evolution equations : well-posedness and long time dynamics
The main goal of this book is to discuss and present results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. While many of the results presented here are the outgrowth of very recent studies by the authors, including...
Shranjeno v:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2010. |
| Serija: | Springer Monographs in Mathematics
|
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Von Karman evolution equations, well-posedness and long time dynamics, Igor Chueshov, Irena Lasiecka, New York, Springer, 2010, 1 vol (XIV-766 p.), Springer monographs in mathematics, 978-0-387-87711-2 |
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Chueshov, Igor Dmitrievich, |d 1951- | |
| 245 | 1 | 0 | |a Von Karman evolution equations : |b well-posedness and long time dynamics |c by Igor Chueshov, Irena Lasiecka. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Well-Posedness Preliminaries Evolutionary Equations Von Karman Models with Rotational Forces Von Karman Equations Without Rotational Inertia Thermoelastic Plates Structural Acoustic Problems and Plates in a Potential Flow of Gas Long-Time Dynamics Attractors for Evolutionary Equations Long-Time Behavior of Second-Order Abstract Equations Plates with Internal Damping Plates with Boundary Damping Thermoelasticity Composite Wave Plate Systems Inertial Manifolds for von Karman Plate Equations | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The main goal of this book is to discuss and present results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. While many of the results presented here are the outgrowth of very recent studies by the authors, including a number of new original results here in print for the first time authors have provided a comprehensive and reasonably self-contained exposition of the general topic outlined above. This includes supplying all the functional analytic framework along with the function space theory as pertinent in the study of nonlinear plate models and more generally second order in time abstract evolution equations. While von Karman evolutions are the object under considerations, the methods developed transcendent this specific model and may be applied to many other equations, systems which exhibit similar hyperbolic or ultra-hyperbolic behavior (e.g. Berger's plate equations, Mindlin-Timoschenko systems, Kirchhoff-Boussinesq equations etc). In order to achieve a reasonable level of generality, the theoretical tools presented in the book are fairly abstract and tuned to general classes of second-order (in time) evolution equations, which are defined on abstract Banach spaces. The mathematical machinery needed to establish well-posedness of these dynamical systems, their regularity and long-time behavior is developed at the abstract level, where the needed hypotheses are axiomatized. This approach allows to look at von Karman evolutions as just one of the examples of a much broader class of evolutions. The generality of the approach and techniques developed are applicable (as shown in the book) to many other dynamics sharing certain rather general properties. Extensive background material provided in the monograph and self-contained presentation make this book suitable as a graduate textbook | ||
| 700 | 1 | |a Lasiecka, Irena, |d 1948-...., |c mathématicienne. |4 aut | |
| 776 | 0 | |0 144633388 |t Von Karman evolution equations |o well-posedness and long time dynamics |f Igor Chueshov, Irena Lasiecka |c New York |n Springer |d 2010 |p 1 vol (XIV-766 p.) |s Springer monographs in mathematics |z 978-0-387-87711-2 | |
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