4 papers · 1 filter
Large-time asymptotics of a public goods game model with diffusion
Klemens Fellner, Evangelos Latos, Takashi Suzuki
We consider a spatially inhomogeneous public goods game model with diffusion. By utilising a generalised Hamiltonian structure of the model we study the existence of global classic…
Global classical solutions to quadratic systems with mass control in arbitrary dimensions
Klemens Fellner, Jeff Morgan, Bao Quoc Tang
The global existence of classical solutions to reaction-diffusion systems in arbitrary space dimensions is studied. The nonlinearities are assumed to be quasi-positive, to have (sl…
On hysteresis-reaction-diffusion systems: Singular fast-reaction limit derivation and nonlinear hysteresis feedback
Klemens Fellner, Christian Münch
This paper concerns a general class of PDE-ODE reaction-diffusion systems, which features a singular fast-reaction limit towards a reaction-diffusion equation coupled to a scalar h…
Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions
Klemens Fellner, Stefanie Sonner, Bao Quoc Tang +1
The stabilisation by noise on the boundary of the Chafee-Infante equation with dynamical boundary conditions subject to a multiplicative Itô noise is studied. In particular, we sho…