41 citations · 41 across the 1 of their papers we have counts for
4 papers
Time-dependent localized patterns in a predator-prey model
Fahad Al Saadi, Edgar Knobloch, Mark Nelson +1
Numerical continuation is used to compute solution branches in a two-component reaction-diffusion model of Leslie--Gower type. %in the vicinity of a Turing-Hopf interaction. Two re…
Phase transitions and minimal interfaces on manifolds with conical singularities
Daniel Grieser, Sina Held, Hannes Uecker +1
Using -convergence, we study the Cahn-Hilliard problem with interface width parameter for phase transitions on manifolds with conical singularities. We prove t…
Differential geometric bifurcation problems in pde2path -- algorithms and tutorial examples
Alexander Meiners, Hannes Uecker
We describe how some differential geometric bifurcation problems can be treated with the MATLAB continuation and bifurcation toolbox pde2path. The basic setup consists in solving t…
Soliton transport in tubular networks: transmission at vertices in the shrinking limit
Hannes Uecker, Daniel Grieser, Zarif Sobirov +2
Soliton transport in tube-like networks is studied by solving the nonlinear Schroedinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of t…