Destabilization of uniform steady states in linear diffusion systems with nonlinear boundary conditions
Atsushi Anma, Kunimochi Sakamoto · Advanced studies in pure mathematics · 2019
Systems of linear diffusion equations are considered in smooth bounded domains under nonlinear boundary conditions of Neumann type. We show that the interaction between the difference in diffusion rates and the nonlinear boundary conditions destabilizes uniform steady states, resulting in time periodic spatial patterns.