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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; AN¿LISIS 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
Reaction-diffusion Equations, Metric Graphs, Networks, Attractors, Stability
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants