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• W3152758575 abstract "We consider the Keller–Segel system of consumption type coupled with an incompressible fluid equation. The system describes the dynamics of oxygen and bacteria densities evolving within a fluid. We establish local well-posedness of the system in Sobolev spaces for partially inviscid and fully inviscid cases. In the latter, additional assumptions on the initial data are required when either the oxygen or bacteria density touches zero. Even though the oxygen density satisfies a maximum principle due to consumption, we prove finite time blow-up of its $$C^{2}$$ -norm with certain initial data." @default.
• W3152758575 created "2021-04-26" @default.
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• W3152758575 date "2022-01-28" @default.
• W3152758575 modified "2023-09-24" @default.
• W3152758575 title "Well-Posedness and Singularity Formation for Inviscid Keller–Segel–Fluid System of Consumption Type" @default.
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• W3152758575 doi "https://doi.org/10.1007/s00220-021-04292-8" @default.
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