Résumé
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 |
|---|---|
| Editeur | Namur center for complex systems |
| Nombre de pages | 9 |
| Volume | 3 |
| Edition | 15 |
| état | Publié - 1 avr. 2015 |
Série de publications
| Nom | naXys Technical Report Series |
|---|---|
| Editeur | University of Namur |
| Numéro | 15 |
| Volume | 3 |
Empreinte digitale
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Pattern formation for reactive species undergoing anisotropic diffusion. / Busiello, Daniel M.; Planchon, Gwendoline; Asllani, Malbor; Carletti, Timoteo; Fanelli, Duccio.
15 Ed. Namur center for complex systems, 2015. 9 p. (naXys Technical Report Series; Vol 3, Numéro 15).Résultats de recherche: Livre/Rapport/Revue › Autre rapport
TY - BOOK
T1 - Pattern formation for reactive species undergoing anisotropic diffusion
AU - Busiello, Daniel M.
AU - Planchon, Gwendoline
AU - Asllani, Malbor
AU - Carletti, Timoteo
AU - Fanelli, Duccio
PY - 2015/4/1
Y1 - 2015/4/1
N2 - 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, theinstability can also set in when the activator diffuses faster than the inhibitor, along the direction for which the usual Turing conditions are not matched
AB - 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, theinstability can also set in when the activator diffuses faster than the inhibitor, along the direction for which the usual Turing conditions are not matched
KW - dynamical systems
KW - Turing patterns
KW - reaction diffusion
KW - anisotropic diffusion
M3 - Other report
VL - 3
T3 - naXys Technical Report Series
BT - Pattern formation for reactive species undergoing anisotropic diffusion
PB - Namur center for complex systems
ER -