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

Igor Chudinovich, Christian Constanda

150 pages, parution le 21/03/2005

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Résumé

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-posedness of a number of initial-boundary value problems, their reduction to time-dependent boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces. The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.

Written for: Researchers, theoretical scientists, engineers, graduate students

Sommaire

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

A.The Fourier and Laplace Transforms of Distributions

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Igor Chudinovich, Christian Constanda
Parution	21/03/2005
Nb. de pages	150
Format	16 x 24
Couverture	Relié
Poids	350g
Intérieur	Noir et Blanc
EAN13	9781852338886
ISBN13	978-1-85233-888-6