In this paper, we prove the wellposedness of the classical solutions for the equation, deduced in [23]. It represents a reaction-diffusion model in which spatial structure is maintained by means of a diffusive mechanism more general than classical Fickian diffusion. This generalized diffusion takes into account the diffusive gradient (or gradient energy) necessary to maintain a pattern even in a single diffusing species.
ON A DIFFUSION MODEL FOR GROWTH AND DISPERSAL IN A POPULATION / Coclite, G; Di Ruvo, L. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - 22:4(2023), pp. 1194-1225. [10.3934/cpaa.2023025]
ON A DIFFUSION MODEL FOR GROWTH AND DISPERSAL IN A POPULATION
Coclite, G
;
2023-01-01
Abstract
In this paper, we prove the wellposedness of the classical solutions for the equation, deduced in [23]. It represents a reaction-diffusion model in which spatial structure is maintained by means of a diffusive mechanism more general than classical Fickian diffusion. This generalized diffusion takes into account the diffusive gradient (or gradient energy) necessary to maintain a pattern even in a single diffusing species.File in questo prodotto:
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