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Alexander Kiselev

Alexander Kiselev

D-Index & Metrics

Mathematics

D-Index
38
Citations
5762
World Ranking
2359
National Ranking
995

Research.com Recognitions

  • 2012 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Alexander Kiselev is affiliated with Duke University in the United States. Their research spans multiple areas within mathematics and engineering, with a particular focus on applied mathematics, mathematical physics, and computational mechanics. Their scholarly output includes significant work in fluid dynamics, mathematical biology, and advanced mathematical theories.

The main fields of study for Kiselev include:

  • Mathematics
  • Engineering

The subfields of study covered in their research are:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Mechanics
  • Modeling and Simulation
  • Molecular Biology

Kiselev's work frequently addresses the following topics:

  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Mathematical Biology Tumor Growth
  • Fluid Dynamics and Turbulent Flows
  • Computational Fluid Dynamics and Aerodynamics
  • Geometric Analysis and Curvature Flows
  • Advanced mathematical theories

Among Kiselev's recent papers are:

  • Small Scale Formations in the Incompressible Porous Media Equation, 2022, Archive for Rational Mechanics and Analysis
  • The Flow of Polynomial Roots Under Differentiation, 2022, Annals of PDE
  • Chemotaxis and reactions in biology, 2022, Journal of the European Mathematical Society
  • Small-scale creation for solutions of the SQG equation, 2021, Duke Mathematical Journal

The publication venues where Kiselev has frequently contributed include:

  • arXiv (Cornell University)
  • Nonlinearity
  • Duke Mathematical Journal
  • Archive for Rational Mechanics and Analysis
  • Annals of PDE

Kiselev has collaborated multiple times with several frequent co-authors such as Siming He, Yao Yao, Yishu Gong, Changhui Tan, and Fëdor Nazarov.

They have also contributed to the academic literature as an author of books, including a publication with Springer Nature titled Progress in Mathematical Fluid Dynamics released in 2020.

In recognition of their work, Alexander Kiselev received the Fellow of John Simon Guggenheim Memorial Foundation award in 2012.

Best Publications

  • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

    A. Kiselev;F. Nazarov;A. Volberg

  • Maximal Functions Associated to Filtrations

    Michael Christ;Alexander Kiselev

  • Diffusion and mixing in fluid flow

    Peter Constantin;Alexander Kiselev;Lenya Ryzhik;Andrej Zlatoš

  • Blow up and regularity for fractal Burgers equation

    Alexander Kiselev;Fedor Nazarov;Roman Shterenberg

  • Small scale creation for solutions of the incompressible two-dimensional Euler equation

    Alexander Kiselev;Vladimir Šverák

  • Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators

    Alexander Kiselev;Barry Simon

  • Nonmonotonic Energy Dependence of Net-Proton Number Fluctuations

    J. Adam;L. Adamczyk;J. R. Adams;J. K. Adkins

  • Variation on a theme of caffarelli and vasseur

    Alexander Kiselev;Fedor Nazarov

  • Bulk Burning Rate in¶ Passive–Reactive Diffusion

    Unknown

  • Biomixing by Chemotaxis and Enhancement of Biological Reactions

    Alexander Kiselev;Lenya Ryzhik

  • Hard Two-Photon Contribution to Elastic Lepton-Proton Scattering Determined by the OLYMPUS Experiment

    B S Henderson;L D Ice;D Khaneft;C O'Connor

  • Suppression of chemotactic explosion by mixing

    Alexander Kiselev;Xiaoqian Xu

  • Finite time singularity for the modified SQG patch equation

    Alexander Kiselev;Lenya Ryzhik;Yao Yao;Andrej Zlato{š}

  • Absolutely continuous spectrum for one-dimensional Schrodinger operators with slowly decaying potentials: Some optimal results

    Michael Christ;Alexander Kiselev

  • Regularity and Blow up for Active Scalars

    A. Kiselev

  • Enhancement of the traveling front speeds in reaction-diffusion equations with advection

    Alexander Kiselev;Leonid Ryzhik

  • Cumulants and correlation functions of net-proton, proton, and antiproton multiplicity distributions in Au+Au collisions at energies available at the BNL Relativistic Heavy Ion Collider

    M. S. Abdallah;J. Adam;L. Adamczyk;J. R. Adams

  • Uniqueness Results for Matrix-Valued Schrodinger, Jacobi, and Dirac-Type Operators

    Fritz Gesztesy;Alexander Kiselev;Konstantin A. Makarov

  • Measurement of $e^+e^-$ Momentum and Angular Distributions from Linearly Polarized Photon Collisions

    J Adam;L Adamczyk;J R Adams;J K Adkins

  • Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case

    Alexander Kiselev;Lenya Ryzhik

  • Nonlocal maximum principles for active scalars

    Alexander Kiselev

  • Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows

    Gautam Iyer;Alexander Kiselev;Xiaoqian Xu

  • Global Regularity for the Fractional Euler Alignment System

    Tam Do;Alexander Kiselev;Lenya Ryzhik;Changhui Tan

  • On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations

    Kyudong Choi;Thomas Y. Hou;Alexander Kiselev;Guo Luo

Frequent Co-Authors

Lenya Ryzhik
Lenya Ryzhik Stanford University
Michael Christ
Michael Christ University of California, Berkeley
Fedor Nazarov
Fedor Nazarov Kent State University
Peter Constantin
Peter Constantin Princeton University
Barry Simon
Barry Simon California Institute of Technology
Vladimír Šverák
Vladimír Šverák University of Minnesota
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales
Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Fritz Gesztesy
Fritz Gesztesy Baylor University
Rowan Killip
Rowan Killip University of California, Los Angeles

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