Von Karman Evolution Equations is popular PDF and ePub book, written by Igor Chueshov in 2010, it is a fantastic choice for those who relish reading online the Analysis (Mathematics). genre. Let's immerse ourselves in this engaging Analysis (Mathematics). book by exploring the summary and details provided below. Remember, Von Karman Evolution Equations can be Read Online from any device for your convenience.
Von Karman Evolution Equations Book PDF Summary
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.
Detail Book of Von Karman Evolution Equations PDF
- Author : Igor Chueshov
- Release : 20 September 2024
- Publisher : Springer
- ISBN : 0387877622
- Genre : Analysis (Mathematics).
- Total Page : 770 pages
- Language : English
- PDF File Size : 12,5 Mb
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