Mathematical analysis of carbon nanotube model |
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Authors: | Marianna A Shubov Miriam Rojas-Arenaza |
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Institution: | University of New Hampshire, NH 03824, United States |
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Abstract: | 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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Keywords: | Carbon nanotubes Timoshenko system Matrix differential operator |
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