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arXiv · 2312.15759

Application of Orlicz regularity theory in two dimensional chemotaxis systems with logistic sources

Minh Le
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Abstract

The objective is to investigate the global existence of solutions for a degenerate chemotaxis system with logistic sources in a two-dimensional domain. It is demonstrated that the inclusion of logistic sources can exclude the occurrence of blow-up solutions, even in the presence of superlinear growth in the cross-diffusion rate. Our proof relies on the application of elliptic and parabolic regularity in Orlicz spaces and variational approach.

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Minh Le. 2023-12-25. Application of Orlicz regularity theory in two dimensional chemotaxis systems with logistic sources. https://arxiv.org/abs/2312.15759

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