Generalized functions in mechanical models (Paperback) (ISBN-13: 9783639206128)

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.

Author: Ljubica Oparnica
ISBN-10: 3639206126
ISBN-13: 9783639206128
Publisher: VDM Verlag
Language: English
Published: 10/26/2009
Pages: 144
Format: Paperback
Weight: 0.49lbs
Size: 9.00h x 6.00w x 0.34d