Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary
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2024-10-01
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In this paper, we show that the Keller-Segel equation equipped with zero Dirichlet Boundary condition and actively coupled to a Stokes-Boussinesq flow is globally well-posed provided that the coupling is sufficiently large. We will in fact show that the dynamics is quenched after certain time. In particular, such active coupling is blowup-suppressing in the sense that it enforces global regularity for some initial data leading to a finite-time singularity when the flow is absent.
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Hu, Z, and A Kiselev (2024). Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary. Journal of Functional Analysis, 287(7). pp. 110541–110541. 10.1016/j.jfa.2024.110541 Retrieved from https://hdl.handle.net/10161/31789.
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Scholars@Duke
Kevin Hu
Alexander A. Kiselev
My current research interests focus on mathematical fluid mechanics and mathematical biology.
In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators.
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