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

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

Irena Lasiecka
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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: we- posedness of the model, including existence and uniqueness of solutions; and 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.
Language
English
Pages
784
Format
Paperback
Release
May 06, 2010
ISBN 13
9781461425915

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

Irena Lasiecka
0/5 ( ratings)
Read Download
In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: we- posedness of the model, including existence and uniqueness of solutions; and 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.
Language
English
Pages
784
Format
Paperback
Release
May 06, 2010
ISBN 13
9781461425915

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