Von Karman Evolution Equations: Well-posedness and Long Time Dynamics (Springer Monographs in Mathematics)

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.
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An aparitie	2010 edition (27 May 2012)
Autor	Igor Chueshov, Irena Lasiecka
Dimensiuni	23.4 x 15.6 x 4 cm
Editura	Springer
Format	Paperback
ISBN	9781461425915
Limba	Engleza
Nr pag	782