On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains
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Publication:5441943
DOI10.1090/S0033-569X-07-01038-2zbMath1147.35048MaRDI QIDQ5441943
Publication date: 15 February 2008
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
nonlinear Neumann problemFitzHugh-Nagumoboundary spikeshadow systemsspecial plane domainsGierer Meinhardt
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) Developmental biology, pattern formation (92C15)
Related Items
An instability criterion for activator-inhibitor systems in a two-dimensional ball. II, Dynamics and interactions of spikes on smoothly curved boundaries for reaction-diffusion systems in 2D, A planar convex domain with many isolated ``hot spots on the boundary, The “hot spots” conjecture for a certain class of planar convex domains, Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk
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