ASYMPTOTIC DYNAMICS OF A NEW MECHANOCHEMICAL MODEL IN BIOLOGICAL PATTERNS

DOI10.3846/13926292.2017.1292324zbMath1488.35099OpenAlexW2596872097WikidataQ113693208 ScholiaQ113693208MaRDI QIDQ5015451

Aibo Liu, Chein-Shan Liu

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1292324

zbMATH Keywords

attractormechanochemical modelbiological patterns

Mathematics Subject Classification ID

Attractors (35B41) Developmental biology, pattern formation (92C15) Higher-order parabolic systems (35K41)

Related Items (3)

Global attractor for a smectic-A liquid crystal model in 2D ⋮ Time periodic solution to a mechanochemical model in biological patterns ⋮ Optimal distributed control for a new mechanochemical model in biological patterns

Cites Work

• Dynamics of three-component reversible Gray-Scott model
• Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems
• Reaction-diffusion models for biological pattern formation
• The existence of global attractors for semilinear parabolic equation in \(H^k\) spaces
• Asymptotical dynamics of Selkov equations
• Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces
• Global attractor of a modified Swift-Hohenberg equation in \(H^k\) spaces
• Geometric theory of semilinear parabolic equations
• Global attractor for the Cahn-Hilliard system with fast growing nonlinearity
• Infinite-dimensional dynamical systems in mechanics and physics.
• A new mechanochemical model: coupled Ginzburg-Landau and Swift-Hohenberg equations in biological patterns of marine animals
• 3D convective Cahn-Hilliard equation
• Pattern formation in the one-dimensional Gray - Scott model
• Global attractor for the Cahn-Hilliard system
• Dynamics of evolutionary equations
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