Characterization of Turing diffusion-driven instability on evolving domains

DOI10.3934/DCDS.2012.32.3975zbMath1252.35049OpenAlexW2040457474MaRDI QIDQ447951

Georg Hetzer, Wenxian Shen, Anotida Madzvamuse

Publication date: 30 August 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.3975

zbMATH Keywords

Lyapunov exponentsexponential dichotomygrowing domainnonautonomous systemsevolution semigroup theoryGierer-Meinhardt activator-inhibitor modelperiodically-changing domain

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Stability theory for smooth dynamical systems (37C75) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60)

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