| Title:
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VON KARMAN EVOLUTION EQUATIONS
WELL-POSEDNESS AND LONG TIME DYNAMICS |
| By: |
Igor Chueshov, Irena Lasiecka |
| Format: |
Paperback |
| List price:
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£139.99 |
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| ISBN 10: |
1461425913 |
| ISBN 13: |
9781461425915 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
27 May, 2012 |
| Series: |
Springer Monographs in Mathematics |
| Pages: |
770 |
| Description: |
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. |
| 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. |
| Illustrations: |
10 black & white illustrations, biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |