arXiv subjects

C. A. Garcia-Bibiano

Publications and source records attributed to C. A. Garcia-Bibiano.

2 recordsLinked to original sources

arXiv2023

Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball

We introduce discrete and p-adic continuous versions of the FitzHugh-Nagumo system on the one-dimensional p-adic unit ball. We provide criteria for the existence of Turing patterns. We present extensive simulations of some of these systems. The simulations show that the Turing patterns are traveling waves in the p-adic unit ball.

nlin.PS↗

arXiv2022

Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation

We introduce a new family of p-adic non-linear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.

math.AP↗