Singular limit of FitzHugh‐Nagumo equations on a sphere
Bendong Lou, Li Zhou · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2008
Abstract We study FitzHugh‐Nagumo equations in heterogeneous media on a sphere. When the coefficient of the reaction term is much larger than the diffusion coefficient, a sharp interface appears. Using the method of matched asymptotic expansions, we formally show that the motion of such an interface depends on its geodesic curvature.