Study of a degenerate reaction-diffusion system arising in particle dynamics with aggregation effects

DOI10.3934/DCDS.2018205zbMath1393.35116OpenAlexW2310793843MaRDI QIDQ1661192

Philippe Grillot, Michèle Grillot, Laurent Desvillettes, Simona Mancini

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.3934/dcds.2018205

zbMATH Keywords

aggregationstabilitypattern formationexistence of solutionsdegenerate parabolic system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

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• Modeling of the migration of endothelial cells on bioactive micropatterned polymers
• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
• Global existence for a class of highly degenerate parabolic systems
• Critical blowup exponents for a system of reaction-diffusion equations with absorption
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\)
• A phenomenological model of cell-cell adhesion mediated by cadherins
• Cell Mechanics
• Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems

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