De Cataldis, Valentina (2015) New stability results for reaction-diffusion models. [Tesi di dottorato]

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Item Type: Tesi di dottorato
Title: New stability results for reaction-diffusion models
Creators:
CreatorsEmail
De Cataldis, Valentinavaledec88@gmail.com
Date: 25 September 2015
Number of Pages: 144
Institution: Università degli Studi di Napoli Federico II
Department: Dipartimento di Matematica e Applicazioni "Renato Caccioppoli"
Scuola di dottorato: Scienze matematiche e informatiche
Dottorato: Scienze matematiche
Ciclo di dottorato: 27
Coordinatore del Corso di dottorato (extra):
nomeemail
De Giovanni, Francescofrancesco.degiovanni2@unina.it
Tutor:
nomeemail
Capone, FlorindaUNSPECIFIED
Date: 25 September 2015
Number of Pages: 144
Uncontrolled Keywords: reaction-diffusion models; nonlinear stability
Settori scientifico-disciplinari del MIUR: Area 01 - Scienze matematiche e informatiche > MAT/07 - Fisica matematica
Date Deposited: 11 Jan 2016 09:20
Last Modified: 11 Jan 2016 09:20
URI: http://www.fedoa.unina.it/id/eprint/10565
DOI: 10.6092/UNINA/FEDOA/10565

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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