Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions
Analysis of PDEs
2017-05-22 v1
Abstract
We investigate the stability of time-periodic solutions of semilinear parabolic problems with Neumann boundary conditions. Such problems are posed on compact submanifolds evolving periodically in time. The discussion is based on the principal eigenvalue of periodic parabolic operators. The study is motivated by biological models on the effect of growth and curvature on patterns formation. The Ricci curvature plays an important role.
Cite
@article{arxiv.1705.06890,
title = {Reaction-diffusion problems on time-dependent Riemannian manifolds: stability of periodic solutions},
author = {Catherine Bandle and Dario Daniele Monticelli and Fabio Punzo},
journal= {arXiv preprint arXiv:1705.06890},
year = {2017}
}