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Mathematical analysis of carbon nanotube model

✍ Scribed by Marianna A. Shubov; Miriam Rojas-Arenaza

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
290 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we present a recently developed mathematical model for a short double-wall carbon nanotube. The model is governed by a system of two coupled hyperbolic equations and is reduced to an evolution equation. This equation defines a dissipative semi-group. We show that the semi-group generator is an unbounded nonselfadjoint operator with compact resolvent. Moreover, this operator is a relatively compact perturbation of a certain selfadjoint operator.

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