5 citations · 27 across the 12 of their papers we have counts for
4 papers · 1 filter
Competition between stable equilibria in reaction-diffusion systems: the influence of mobility on dominance
Emmanuel Risler
This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing…
Retracting fronts for the nonlinear complex heat equation
Guillaume Réocreux, Emmanuel Risler
The "nonlinear complex heat equation" was introduced by P. Coullet and L. Kramer as a model equation exhibiting travelling fronts induced by non-variational ef…
Global behaviour of radially symmetric solutions stable at infinity for gradient systems
Emmanuel Risler
This paper is concerned with radially symmetric solutions of systems of the form \[ u_t = -\nabla V(u) + Δ_x u \] where space variable and and state-parameter are multidime…
Global behaviour of bistable solutions for hyperbolic gradient systems in one unbounded spatial dimension
Emmanuel Risler
This paper is concerned with damped hyperbolic gradient systems of the form \[ αu_{tt} + u_t = -\nabla V(u) + u_{xx}\,, \] where the spatial domain is the whole real line, the stat…