On a coupled hybrid system of nonlinear differential equations with a nonlocal concentration

We focus on existence of solutions to a coupled system of nonlinear differential equations which arises as a biological model for collective cell migrations and growth. Results concerning uniqueness and regularity in time of solutions are also discussed.

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Bibliographic Details
Published in:Journal of Differential Equations 2023-07, Vol.361, p.288-338
Main Authors: Menci, Marta, Papi, Marco, Porzio, Maria Michaela, Smarrazzo, Flavia
Format: Article
Language:English
Subjects:
Coupled hybrid systems
Nonlocal concentration
Pseudoparabolic approximation
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Description
Summary:We focus on existence of solutions to a coupled system of nonlinear differential equations which arises as a biological model for collective cell migrations and growth. Results concerning uniqueness and regularity in time of solutions are also discussed.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2023.02.044