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Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system

Published online by Cambridge University Press:  06 March 2023

Hamid El Bahja*
AIMS, Cape Town, South Africa (


This work is devoted to the study of the sub-critical case of an anisotropic fully parabolic Keller–Segel chemotaxis system. We prove the existence of nonnegative weak solutions of (1.1) without restriction on the size of the initial data.

Research Article
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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