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Von Karman Evolution Equations : Well-posedness and Long Time Dynamics, Hardback Book

Von Karman Evolution Equations : Well-posedness and Long Time Dynamics Hardback

Part of the Springer Monographs in Mathematics series

Hardback

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.

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