Von Karman evolution equations: well-posedness and long time dynamics

The main goal of this book is to discuss and present results on well-posedness, regularity and long time behavior of nonlinear dynamic plate (shell) modelsdescribed by von Karman evolutions. While many of the results presented are the outgrowth. of very recent studies by the authors, they provide for a comprehensive and reasonably self-contained exposition. 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, stability Critical nonlinearities and nonlinear damping highly exposed Relevant tools developed. These constitute new and original results in the field INDICE: Well-posedness.- Evolutionary Equations.- Von Karman models with rotational forces.- Von Karman equations without rotational intertia.- Thermoelasticity of Plates.- Structural Acoustic Problems and Plates in a Potential Flow of Gas.- Attractors for evolutionary equations.- Long-time behaviour of second order abstract equations.- Plates with Internal Damping.- Plates with Boundary Damping.- Thermoelasticity.- Composite Wave/Plate Systems.- Inertial Manifolds for von Karman Plate Equations.

• ISBN: 978-0-387-87711-2
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 778
• Fecha Publicación: 01/07/2010
• Nº Volúmenes: 1
• Idioma: Inglés