Reaction–subdiffusion systems and memory: spectra, Turing instability and decay estimates

• Published in: IMA journal of applied mathematics Vol. 86; no. 2; pp. 247 - 293
• Main Authors: Yang, Jichen, Rademacher, Jens D M
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.04.2021
• Subjects: reaction–subdiffusion; fractional PDEs; Turing instability; spectrum; stability

Abstract The modelling of linear and nonlinear reaction–subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulting equations feature a spatial Laplacian with a temporal memory term through a time fractional derivative. It is known that the precise form...