Von Karman Evolution Equations: Well-posedness and Long Time Dynamics (Springer Monographs in Mathematics)
ISBN-13:
9780387877112
ISBN-10:
0387877118
Edition:
2010
Author:
Irena Lasiecka, Igor Chueshov
Publication date:
2010
Publisher:
Springer
Format:
Hardcover
784 pages
Category:
Engineering
,
Evolution
,
Mathematical Analysis
,
Mathematics
,
Technology
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Book details
ISBN-13:
9780387877112
ISBN-10:
0387877118
Edition:
2010
Author:
Irena Lasiecka, Igor Chueshov
Publication date:
2010
Publisher:
Springer
Format:
Hardcover
784 pages
Category:
Engineering
,
Evolution
,
Mathematical Analysis
,
Mathematics
,
Technology
Summary
Von Karman Evolution Equations: Well-posedness and Long Time Dynamics (Springer Monographs in Mathematics) (ISBN-13: 9780387877112 and ISBN-10: 0387877118), written by authors
Irena Lasiecka, Igor Chueshov, was published by Springer in 2010.
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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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