On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport

This paper provides a unified mathematical analysis of a family of non-local diffuse interface models for tumor growth describing evolutions driven by long-range interactions. These integro-partial differential equations model cell-to-cell adhesion by a non-local term and may be seen as non-local va...

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Bibliographic Details
Published in:Nonlinearity 2021-05, Vol.34 (5), p.3199-3250
Main Authors: Scarpa, Luca, Signori, Andrea
Format: Article
Language:English
Subjects:
asymptotic analysis
error estimates
non-local Cahn–Hilliard equation
singular potentials
strong solutions
tumor growth
well-posedness
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