Code: 06828582

Generalized functions in mechanical models

Name: Generalized functions in mechanical models
Brand: VDM Verlag
SKU: 06828582
Price: 58.66 EUR
Availability: InStock
Author: Ljubica Oparnica
ISBN: 9783639206128

by Ljubica Oparnica

Language: English
Binding: Paperback
Number of pages: 144
Publisher: VDM Verlag, 2009
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Book synopsis

Problems that are considered in this book model various mechanical phenomena, especially from rod theory and viscoelasticity. Differential equations that arise have coefficients which are not smooth, can be even distributions (Dirac delta and Heaviside functions), and some equations are coupled with fractional differential equations. This is why one has to go beyond classical spaces and look for solutions within generalized function spaces such as spaces of distributions, Sobolev spaces and Colombeau's generalized functions. Different kinds of techniques are presented and afterwards are employed to show existence and uniqueness of solutions.