Von Karman Evolution Equations: Well-Posedness and Long Time Dynamics (Hardcover) (ISBN-13: 9780387877112)

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.

Author: Igor Chueshov, Irena Lasiecka
ISBN-10: 0387877118
ISBN-13: 9780387877112
Publisher: Springer
Language: English
Published: 05/06/2010
Pages: 770
Format: Hardcover
Weight: 2.78lbs
Size: 9.21h x 6.14w x 1.63d