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

Part of: Partial differential equations Parabolic equations and systems

Published online by Cambridge University Press:  06 March 2023

Hamid El Bahja Open the ORCID record for Hamid El Bahja [Opens in a new window]
Hamid El Bahja*
Affiliation:
AIMS, Cape Town, South Africa ([email protected])
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Abstract

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.

Keywords

Keller–Segel systemNonlinear diffusionWeak solutions

MSC classification

Primary: 35K57: Reaction-diffusion equations
Secondary: 35B33: Critical exponents
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 154 , Issue 2 , April 2024 , pp. 424 - 444
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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