Pattern formation (II): The Turing Instability

DOI10.1090/S0002-9939-07-08850-8zbMath1146.35050arXivmath/0510419OpenAlexW1977895317MaRDI QIDQ5291931

Yan Guo, Hyung-Ju Hwang

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510419

zbMATH Keywords

homogeneous Neumann conditionslinear growing modes

Mathematics Subject Classification ID

Related Items (10)

Pattern Size in Gaussian Fields from Spinodal Decomposition ⋮ Stability Analysis of the Immune System Induced by Chemotaxis ⋮ Turing instability in a general system ⋮ Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model ⋮ Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source ⋮ Pattern formation in a predator-prey diffusion model with stage structure for the predator ⋮ Dynamic pattern formation in Swift-Hohenberg equations ⋮ Nonlinear instability for a Leslie-Gower predator-prey model with cross diffusion ⋮ Global boundedness and stability analysis of the quasilinear immune chemotaxis system

Cites Work

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• Stable and unstable ideal plane flows
• Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
• On the dynamical Rayleigh-Taylor instability
• Dynamics near an unstable Kirchhoff ellipse
• Pattern formation in a nonlinear model for animal coats
• Pattern formation. I: The Keller-Segel model
• The chemical basis of morphogenesis
• Instability of periodic BGK equilibria

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