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Instability of stationary solutions of reaction-diffusion equations on networks

Autor
Von Below, J.; Lubary, J.
Tipus d'activitat
Document cientificotècnic
Data
2014-02
Projecte finançador
ECUACIONES EN DERIVADAS PARCIALES; ANÁLISIS Y APLICACIONES
Ecuacions en derivades parcials i aplicacions
Resum
The nonexistence of stable stationary nonconstant solutions of reaction–diffusion–equations on the edges of a finite (topological) graph is investigated under continuity and consistent Kirchhoff flow conditionsat all vertices of the graph. In particular, it is shown that in the balanced autonomous case f(u) = u - u^3, no such stable stationary solution can exist if the graph is analytic. Under more general, eventually inconsistent Kirchhoff conditions, there are no stable stationary nonconst...
Paraules clau
attractors, metric graphs, networks, reaction-diffusion equations, stability
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants