422 citations · 2.4k across the 156 of their papers we have counts for
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Traveling wave dynamics for Allen-Cahn equations with strong irreversibility
Goro Akagi, Christian Kuehn, Ken-Ichi Nakamura
Constrained gradient flows are studied in fracture mechanics to describe strongly irreversible (or unidirectional) evolution of cracks. The present paper is devoted to a study on t…
Numerical continuation for fractional PDEs: sharp teeth and bloated snakes
Noémie Ehstand, Christian Kuehn, Cinzia Soresina
Partial differential equations (PDEs) involving fractional Laplace operators have been increasingly used to model non-local diffusion processes and are actively investigated using…
Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations
Katharina Eichinger, Manuel V. Gnann, Christian Kuehn
We investigate the stability of traveling-pulse solutions to the stochastic FitzHughNagumo equations with additive noise. Special attention is given to the effect of small noise on…