The roles of diffusivity and curvature in patterns on surfaces of revolution

DOI10.1016/j.jmaa.2013.10.058OpenAlexW2046876224MaRDI QIDQ2019182

Arnaldo Simal do Nascimento, Maicon Sônego

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.058

zbMATH Keywords

stabilitycurvaturereaction-diffusionsurface of revolutionpatternsdiffusivity

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx)

Related Items (7)

The Destabilizing Effect of Unbalanced Reaction as Diffusivity Decreases on Reaction-Diffusion Equations in Boundaryless Surfaces ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ The propagation phenomenon of solutions of a parabolic problem on the sphere ⋮ Stable equilibria of a singularly perturbed reaction-diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface ⋮ Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases ⋮ On the internal transition layer to some inhomogeneous semilinear problems: interface location ⋮ Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution

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