5 citations · 27 across the 12 of their papers we have counts for
12 papers
Existence of a pulled or pushed travelling front invading a critical point for parabolic gradient systems
Ramon Oliver-Bonafoux, Emmanuel Risler
For nonlinear parabolic gradient systems of the form \[ u_t = -\nabla V(u) + u_{xx} \,, \] where the spatial domain is the whole real line, the state variable is multidimension…
Global convergence towards pushed travelling fronts for parabolic gradient systems
Ramon Oliver-Bonafoux, Emmanuel Risler
This article addresses the issue of global convergence towards pushed travelling fronts for solutions of parabolic systems of the form \[ u_t = - \nabla V(u) + u_{xx} \,, \] where…
Generic transversality of radially symmetric stationary solutions stable at infinity for parabolic gradient systems
Emmanuel Risler
This paper is devoted to the generic transversality of radially symmetric stationary solutions of nonlinear parabolic systems of the form \[ \partial_t w(x,t) = -\nabla V\bigl(w((x…
Generic transversality of travelling fronts, standing fronts, and standing pulses for parabolic gradient systems
Romain Joly, Emmanuel Risler
For nonlinear parabolic systems of the form \[ \partial_t w(x,t) = \partial_{x}^2 w(x,t) - \nabla V\bigl(w(x,t)\bigr) \,, \] the following conclusions are proved to hold genericall…
Global behaviour of solutions stable at infinity for gradient systems in higher space dimension: the no invasion case
Emmanuel Risler
This paper is concerned with parabolic gradient systems of the form \[ u_t = -\nabla V(u) + Δ_x u \,, \] where the space variable and the state variable are multidimensiona…
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…