On stable nonconstant stationary solutions and mesoscopic patterns for FitzHugh-Nagumo equations in higher dimensions.
type: Item
instance of: scholarly article
title: On stable nonconstant stationary solutions and mesoscopic patterns for FitzHugh-Nagumo equations in higher dimensions.
zbMATH Open document ID: 1036.35083
DOI: 10.1016/S0022-0396(02)00084-0
author: Yoshihito Oshita
published in: Journal of Differential Equations
publication date: 2003-04-02T00:00:00Z
review text: A FitzHugh-Nagumo type activator-inhibitor system in high dimension is studied. Spatially periodic stationary solutions are constructed and the singular limit energy is computed which indicates that the transition from planar structure to droplet pattern can occur when parameters change. The model has the mechanism of `lateral inhibition' which seems to play a big role in the plankton pattern formation.
reviewed by: Shigui Ruan
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1891264
zbMATH Keywords: fine structures
zbMATH Keywords: pattern formation
zbMATH Keywords: mesoscopic scale
zbMATH Keywords: Young's measure
zbMATH Keywords: plankton pattern formation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891264