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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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Von Karman Equations Without Rotational Inertias raises several questions related to generation of well-posed flows, making the subject more challenging. This is due to the lack of regularizing effect on the velocity s expressed by the term .. in (3.1.1). In fact, in the absence of this term the issue of uniqueness of finite energy solutions has
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Attractors for Evolutionary Equationssented in a convenient form for applications to the material presented in subsequent chapters. For other possible approaches to the topic we refer to the monographs [17, 61, 134, 139, 172, 259, 273]..The main focus is on questions such as existence of global attractors, and their structure, dimensio
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Long-Time Behavior of Second-Order Abstract Equationsamped second-order abstract equations. To accomplish this we use abstract results of Chapter 7 that describe long-time dynamics of more general dynamical systems. Particular assumptions imposed on the data of the problem (damping and sources) are motivated by applications to nonlinear plate equation
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Thermoelasticity. We consider models with and without the rotational inertia terms. The presence of this parameter changes the character of the thermoelastic dynamics from parabolic-like to hyperbolic-like. We establish the existence of a compact global attractor of finite fractal dimension and study its properties
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