13 citations · 23 across the 7 of their papers we have counts for
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math.AP2015
Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing
Aleksander Czechowski, Piotr Zgliczyński
We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of…
math.DS2015★ 6 cited
Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter
Aleksander Czechowski, Piotr Zgliczyński
The FitzHugh-Nagumo model describing propagation of nerve impulses in axon is given by fast-slow reaction-diffusion equations, with dependence on a parameter representing the r…