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Alexander A. Kiselev

William T. Laprade Distinguished Professor of Mathematics
Mathematics

Overview


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.

Current Appointments & Affiliations


William T. Laprade Distinguished Professor of Mathematics · 2018 - Present Mathematics, Trinity College of Arts & Sciences
Professor of Mathematics · 2017 - Present Mathematics, Trinity College of Arts & Sciences

In the News


Published January 13, 2020
For fluid equations, a steady flow of progress
Published October 5, 2017
Alexander Kiselev: Mixing It Up

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Recent Publications


Finite time blow-up in a 1D model of the incompressible porous media equation

Journal Article Nonlinearity · May 31, 2025 We derive a PDE that models the behavior of a boundary layer solution to the incompressible porous media (IPM) equation posed on the 2D periodic half-plane. This 1D IPM model is a transport equation with a non-local velocity similar to the well-known Córdo ... Full text Cite

The α-SQG patch problem is illposed in C2,β and W2,p

Journal Article Communications on Pure and Applied Mathematics · April 1, 2025 We consider the patch problem for the (Formula presented.) -(surface quasi-geostrophic) SQG system with the values (Formula presented.) and (Formula presented.) being the 2D Euler and the SQG equations respectively. It is well-known that the Euler patches ... Full text Open Access Cite

Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary

Journal Article Journal of Functional Analysis · October 1, 2024 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 dy ... Full text Open Access Cite
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Recent Grants


Small Scale and Singularity Formation in Fluids

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2026

RTG: Training Tomorrow's Workforce in Analysis and Applications

Inst. Training Prgm or CMEPrincipal Investigator · Awarded by National Science Foundation · 2021 - 2026

Small Scale and Singularity Formation in Fluids

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2025

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Education, Training & Certifications


California Institute of Technology · 1997 Ph.D.

External Links


Personal web page