A singular limit of a FitzHugh–Nagumo system leads to a nonlocal geometric variational problem with periodic boundary conditions. We study the stationary lamellar set and give a criterion to select out the one with the lowest energy. Such an optimal structure is called a minimal lamella. While the empty set or the full torus is a global minimizer for appropriate parameter regimes, the minimal lamellae beat both in other circumstances. The concept of minimal lamella points out that a preferred 1D mesh size is universal.

Minimal lamellar structures in a periodic FitzHugh–Nagumo system / Acerbi, E.; Chen, C. -N.; Choi, Y. -S.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 194:(2019). [10.1016/j.na.2019.01.026]

Minimal lamellar structures in a periodic FitzHugh–Nagumo system

Acerbi E.
;
2019-01-01

Abstract

A singular limit of a FitzHugh–Nagumo system leads to a nonlocal geometric variational problem with periodic boundary conditions. We study the stationary lamellar set and give a criterion to select out the one with the lowest energy. Such an optimal structure is called a minimal lamella. While the empty set or the full torus is a global minimizer for appropriate parameter regimes, the minimal lamellae beat both in other circumstances. The concept of minimal lamella points out that a preferred 1D mesh size is universal.
2019
Minimal lamellar structures in a periodic FitzHugh–Nagumo system / Acerbi, E.; Chen, C. -N.; Choi, Y. -S.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 194:(2019). [10.1016/j.na.2019.01.026]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2867003
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