2 papers
math.DS2019
Large fronts in nonlocally coupled systems using Conley-Floer homology
Bente Hilde Bakker, Jan Bouwe van den Berg
In this paper we study travelling front solutions for nonlocal equations of the type \begin{equation} \partial_t u = N * S(u) + \nabla F(u), \qquad u(t,x) \in \mathbf{R}^d. \end{eq…
math.DS2017
Spatial Hamiltonian identities for nonlocally coupled systems
Bente Bakker, Arnd Scheel
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler-Lagrange equations to energies involving nonlinear nonlo…