51 citations · 168 across the 26 of their papers we have counts for
3 papers · 2 filters
Weak and strong interaction of excitation kinks in scalar parabolic equations
Antoine Pauthier, Jens D. M. Rademacher, Dennis Ulbrich
Motivated by studies of the Greenberg-Hastings cellular automata (GHCA) as a caricature of excitable systems, in this paper we study kink-antikink dynamics in the perhaps simplest…
Explicit superposed and forced plane wave generalized Beltrami flows
Artur Prugger, Jens D. M. Rademacher
We revisit and present new linear spaces of explicit solutions to incompressible Euler and Navier-Stokes equations on , as well as the rotating Boussinesq equations o…
The impact of advection on the stability of stripes on lattices near planar Turing instabilities
Jichen Yang, Jens D. M. Rademacher, Eric Siero
Striped patterns are known to bifurcate in reaction-diffusion systems with differential isotropic diffusions at a supercritical Turing instability. In this paper we study the impac…