publication . Article . Other literature type . 1970

Burgers's-Korteweg-De Vries equation for viscoelastic rods and plates☆

Nariboli, G.A; Sedov, A;
Open Access
  • Published: 01 Dec 1970 Journal: Journal of Mathematical Analysis and Applications, volume 32, issue 3, pages 661-677 (issn: 0022-247X, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Abstract A perturbation scheme is developed to study the far-field structure of waves in cylinders and plates. There exist four small parameters in the problem: the first gives waves of small but finite amplitude; the second is the reciprocal of a Reynolds number and represents viscous effects; the third is the ratio of the radius of the cylinder to an axial length, or of the thickness of the plate to an in-plane length, and represents dispersion; the last parameter is used to stretch time so that the description sought is an asymptotic one. The highest order problem leads to known longitudinal waves in rods and extensional waves in plates. The terms next in ord...
Subjects
free text keywords: Applied Mathematics, Analysis, Cylinder, Korteweg–de Vries equation, Cylinder (engine), law.invention, law, Mathematical analysis, Longitudinal wave, Reynolds number, symbols.namesake, symbols, Dispersion (optics), Love wave, Viscoelasticity, Mathematics
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