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Alexander A. Kiselev
William T. Laprade Distinguished Professor of Mathematics
Mathematics
kiselev@math.duke.edu
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Scholarly Works - Preprints
A Nash stratification inequality and global regularity for a chemotaxis-fluid system on general 2D domains
Preprint
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March 11, 2026
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Reaction enhancement by flux-limited chemotaxis
Preprint
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August 19, 2025
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Chemotaxis and Reactions in Anomalous Diffusion Dynamics
Preprint
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December 27, 2024
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Finite time blow-up in a 1D model of the incompressible porous media equation
Preprint
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December 20, 2024
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Suppression of Chemotactic Blowup by Strong Buoyancy in Stokes-Boussinesq Flow with Cold Boundary
Preprint
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September 8, 2023
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The $α$-SQG patch problem is illposed in $C^{2,β}$ and $W^{2,p}$
Preprint
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June 7, 2023
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Suppression of chemotactic singularity by buoyancy
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May 1, 2023
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A simple reaction-diffusion system as a possible model for the origin of chemotaxis
Preprint
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November 13, 2022
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Small scale formation for the 2D Boussinesq equation
Preprint
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November 9, 2022
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Illposedness of $C^{2}$ vortex patches
Preprint
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April 13, 2022
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Preservation of the absolutely continuous spectrum of Schrödinger equation under perturbations by slowly decreasing potentials and a.e. convergence of integral operators
Preprint
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September 30, 1996
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