Laurent Dietrich
Published 2014-10-17Version 1
We prove existence and uniqueness of travelling waves for a reaction-diffusion system coupling a classical reaction-diffusion equation in a strip with a diffusion equation on a line. To do this we use a continuation method which leads to further insight into the system. In particular, the transition occurs through a singular perturbation which seems new in this context, connecting the system with a Wentzell type boundary value problem.
Convergence to self-similar profiles in reaction-diffusion systems
Coercivity for travelling waves in the Gross-Pitaevskii equation in $\mathbb{R}^2$ for small speed
Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion
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