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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.
| Autorius: | Irena Lasiecka, Igor Chueshov, |
| Serija: | Springer Monographs in Mathematics |
| Leidėjas: | Springer US |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 780 |
| ISBN-10: | 1461425913 |
| ISBN-13: | 9781461425915 |
| Formatas: | 235 x 155 x 42 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Von Karman Evolution Equations: Well-posedness and Long Time Dynamics“
