Singular limit of an activator-inhibitor type model | Zendy

Marie Henry | Zendy

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Singular limit of an activator-inhibitor type model

Author(s) -

Marie Henry

Publication year - 2012

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2012.7.781

Subject(s) - reaction–diffusion system , mathematics , curvature , convergence (economics) , limit (mathematics) , population , phase transition , singular perturbation , mathematical analysis , type (biology) , activator (genetics) , physics , chemistry , thermodynamics , geometry , biology , demography , ecology , biochemistry , sociology , gene , economics , economic growth

We consider a reaction-diffusion system of activator-inhibitor type arising in the theory of phase transition. It appears in biological contexts such as pattern formation in population genetics. The purpose of this work is to prove the convergence of the solution of this system to the solution of a free boundary Problem involving a motion by mean curvature.

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