Subcritical Turing patterns in hyperbolic models with cross–diffusion

Autor:	Giovanna Valenti, Carmela Currò
Rok vydání:	2021
Předmět:	Physics Nonlinear system Inertial frame of reference Amplitude Applied Mathematics General Mathematics Numerical analysis Mathematical analysis Time evolution Pattern formation Transient (oscillation) Instability
Zdroj:	Ricerche di Matematica. 71:147-167
ISSN:	1827-3491 0035-5038
DOI:	10.1007/s11587-021-00574-4
Popis:	This paper focuses on the role of hyperbolicity on pattern formation in the subcritical regime for a class of hyperbolic models with cross-diffusion. A weakly nonlinear analysis up to the fifth order is employed to describe the time evolution of the pattern amplitude close to the instability threshold. The effects of the inertial times on the pattern formation as well as on the transient subcritical regime are investigated, both analitically and numerically, in the case of the hyperbolic Schnakenberg model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ad45e3d3c329133635226b83a7218de1 https://doi.org/10.1007/s11587-021-00574-4 Zobrazit plný text záznamu Full text from SpringerLink