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Résumé
Turing instabilities for a two species reaction-diffusion systems 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
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 originale | Anglais |
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Editeur | Namur center for complex systems |
Nombre de pages | 9 |
Volume | 3 |
Edition | 15 |
Etat de la publication | Publié - 1 avr. 2015 |
Série de publications
Nom | naXys Technical Report Series |
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Editeur | University of Namur |
Numéro | 15 |
Volume | 3 |
Empreinte digitale
Examiner les sujets de recherche de « Pattern formation for reactive species undergoing anisotropic diffusion ». Ensemble, ils forment une empreinte digitale unique.-
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
WINKIN, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & Sartenaer, A.
1/04/12 → 30/09/17
Projet: Recherche