| Von Karman Evolution Equations: Well-Posedness and Long Time Dynamics 2010 Edition Contributor(s): Chueshov, Igor (Author), Lasiecka, Irena (Author) |
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ISBN: 0387877118 ISBN-13: 9780387877112 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: May 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Applied - Mathematics | Mathematical Analysis |
| Dewey: 515 |
| LCCN: 2010924290 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 1.63" H x 6.14" W x 9.21" (2.78 lbs) 770 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |