A variant of the Keller-Segel system with an added anisotropic signal production term admits global weak solutions satisfying a uniform exponential integrability bound on the cell density for n ≤ 5.
arXiv:2409.19388 (2024)
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Preventing $L^p$ blow-up by local anisotropy of signal production in the Keller-Segel system with strongly differing diffusion rates
A variant of the Keller-Segel system with an added anisotropic signal production term admits global weak solutions satisfying a uniform exponential integrability bound on the cell density for n ≤ 5.