Publications [#381046] of Alexander A. Kiselev

Papers Published

1. Hu, Z; Kiselev, A, Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary, Journal of Functional Analysis, vol. 287 no. 7 (October, 2024) [doi]
   (last updated on 2025/02/19)

   Abstract:
   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.