Multi-phase Stefan problems for a non-linear one-dimensional model of cell-to-cell adhesion and diffusion

DOI10.1017/S0956792509990167zbMath1193.35226arXiv0902.4561MaRDI QIDQ3557539

K. Anguige

Publication date: 23 April 2010

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4561

zbMATH Keywords

diffusionStefan problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Cites Work

• Dynamic theory of quasilinear parabolic systems. III: Global existence
• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
• Dynamics and Coarsening of Interfaces for the Viscous Cahn—Hilliard Equation in One Spatial Dimension

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