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Titlebook: Von Karman Evolution Equations; Well-posedness and L Igor Chueshov,Irena Lasiecka Book 2010 Springer Science+Business Media, LLC 2010 Von K

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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Titlebook: Von Karman Evolution Equations; Well-posedness and L Igor Chueshov,Irena Lasiecka Book 2010 Springer Science+Business Media, LLC 2010 Von K
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
doihttps://doi.org/10.1007/978-0-387-87712-9
isbn_softcover978-1-4614-2591-5
isbn_ebook978-0-387-87712-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media, LLC 2010
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Thermoelasticitythe attractor with respect to the parameters . and .. In the case . → 0 we show that the attractor is close in some sense to the attractor of an isothermal structurally damped von Karman model. In this chapter we mainly follow [76].
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Inertial Manifolds for von Karman Plate Equationswidely studied for deterministic systems by many authors. All known results concerning existence of inertial manifolds require some gap condition on the spectrum of the linearized problem (see, e.g., [45, 50, 61, 90, 227, 236, 273] and the references therein). Although inertial manifolds have been m
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Plates with Internal Dampingthe model are either clamped, hinged or else “free”. In this latter case, the boundary conditions may involve naturally both dynamic and nonlinear terms. The well-posedness of solutions to the models considered follows from the results presented in Chapter 3, for models with rotational forces and in Chapter 4, for nonrotational models.
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Von Karman Evolution Equations978-0-387-87712-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
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