The paper deals with a semilinear integrodifferential equation that characterizes several dissipative models of Viscoelasticity, Biology and Superconductivity. The initial - boundary problem with Neumann conditions is analyzed. When the source term F is a linear function, then the explicit solution is obtained. When F is non linear, some results on existence, uniqueness and a priori estimates are deduced. As example of physical model the reaction - diffusion system of Fitzhugh Nagumo is considered.
On a Model of Superconductivity and Biology / DE ANGELIS, Monica. - In: ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES. - ISSN 0974-6803. - STAMPA. - 7(1):(2010), pp. 41-50.
On a Model of Superconductivity and Biology
DE ANGELIS, MONICA
2010
Abstract
The paper deals with a semilinear integrodifferential equation that characterizes several dissipative models of Viscoelasticity, Biology and Superconductivity. The initial - boundary problem with Neumann conditions is analyzed. When the source term F is a linear function, then the explicit solution is obtained. When F is non linear, some results on existence, uniqueness and a priori estimates are deduced. As example of physical model the reaction - diffusion system of Fitzhugh Nagumo is considered.| File | Dimensione | Formato | |
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