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De Cataldis, Valentina
(2015)
New stability results for reaction-diffusion models.
[Tesi di dottorato]
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Abstract
The present thesis deals with the nonlinear stability analysis of some reaction-diffusion models of interest in applied sciences and biomathematics. In particular, some epidemiological models and a system modeling fluid motions in horizontal porous layers are taking into account. Via some peculiar Liapunov functionals, the optimal result of coincidence between linear and nonlinear stability thresholds is obtained.
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