Pattern formation for reactive species undergoing anisotropic diffusion

Daniel M. Busiello, Gwendoline Planchon, Malbor Asllani, Timoteo Carletti, Duccio Fanelli

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

80 Téléchargements (Pure)

Résumé

Turing instabilities for a two species reaction-diffusion system is studied under anisotropic diffusion. More specifically, the diffusion constants which characterize the ability of the species to relocate in space are direction sensitive. Under this working hypothesis, the conditions for the onset of the instability are mathematically derived and numerically validated. Patterns which closely resemble those obtained in the classical context of isotropic diffusion, develop when the usual Turing condition is violated, along one of the two accessible directions of migration. Remarkably, the instability can also set in when the activator diffuses faster than the inhibitor, along the direction for which the usual Turing conditions are not matched.
langue originaleAnglais
Pages (de - à)222
Nombre de pages7
journalEuropean Physical Journal B
Volume88
Numéro de publication222
Les DOIs
Etat de la publicationPublié - 1 sept. 2015

Empreinte digitale Examiner les sujets de recherche de « Pattern formation for reactive species undergoing anisotropic diffusion ». Ensemble, ils forment une empreinte digitale unique.

Contient cette citation