abstract: We present some new results concerning the asymptotical behaviour of non autonomous coupled gradient systems. We consider respectively the two dual situations: i)the coefficient before the coupling term tends to zero as the time goes to infinity ii) the coefficient before the coupling term tends to infinity. Limiting equilibria enjoy interesting properties both from physical (viscosity solutions...), science decision (emergence of cooperative equilibria) and numerical aspects (decomposition methods in optimization and PDE).
attouch.pdf