2 papers
nlin.PS2023
Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball
L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo
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…
math.AP2022
Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation
L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo
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 ce…