Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

• Main Authors: Chudinovich, Igor (Author), Constanda, Christian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2005.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Integral equations.; Continuum mechanics.; Analysis.; Integral Equations.; Functional Analysis.; Continuum Mechanics and Mechanics of Materials.

The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posed...

Table of Contents:

• Formulation of the Problems and Their Nonstationary Boundary Integral Equations
• Problems with Dirichlet Boundary Conditions
• Problems with Neumann Boundary Conditions
• Boundary Integral Equations for Problems with Dirichlet and Neumann Boundary Conditions
• Transmission Problems and Multiply Connected Plates
• Plate Weakened by a Crack
• Initial-Boundary Value Problems with Other Types of Boundary Conditions
• Boundary Integral Equations for Plates on a Generalized Elastic Foundation
• Problems with Nonhomogeneous Equations and Nonhomogeneous Initial Conditions.