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math.AP2022★ 1 cited
Travelling waves in a PDE-ODE coupled system with nonlinear diffusion
Koondanibha Mitra, Jack M. Hughes, Stefanie Sonner +2
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends to…
math.AP2018
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…