书目名称 | Von Karman Evolution Equations |
副标题 | Well-posedness and L |
编辑 | Igor Chueshov,Irena Lasiecka |
视频video | |
概述 | Authors well-known experts of nonlinear PDE.Exhaustive introduction in theory and methods of evolutionary Karman plate theory.Self-contained exposition of methods pertaining to well-posedness, stabili |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | 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 o |
出版日期 | Book 2010 |
关键词 | Von Karman equations; differential equation; global attractors; inertial manifolds; long-time behavior; r |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-87712-9 |
isbn_softcover | 978-1-4614-2591-5 |
isbn_ebook | 978-0-387-87712-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Science+Business Media, LLC 2010 |