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Mathematics

D-Index
44
Citations
5432
World Ranking
1631
National Ranking
698

Research.com Recognitions

  • 2015 - Fellow of Alfred P. Sloan Foundation

Overview

Vlad Vicol is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research spans primarily the fields of Mathematics and Engineering, with a focus on several subfields including Applied Mathematics, Computational Mechanics, Mathematical Physics, Control and Systems Engineering, and Computational Theory and Mathematics.

The main topics addressed in their work include Navier-Stokes equation solutions, Computational Fluid Dynamics and Aerodynamics, Fluid Dynamics and Turbulent Flows, Geometric Analysis and Curvature Flows, Advanced Mathematical Physics Problems, Gas Dynamics and Kinetic Theory, and Stability and Controllability of Differential Equations.

Vicol has contributed multiple papers published in various academic venues. Recent selected works include:

  • "Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations" (2020), published in Spiral (Imperial College London)
  • "Convex integration constructions in hydrodynamics" (2020), published in Bulletin of the American Mathematical Society
  • "The Inviscid Limit for the Navier-Stokes Equations with Data Analytic Only Near the Boundary" (2020), published in Archive for Rational Mechanics and Analysis
  • "Formation of Shocks for 2D Isentropic Compressible Euler" (2020), published in Communications on Pure and Applied Mathematics
  • "Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1" (2021), published in Journal of the European Mathematical Society

Frequent co-authors include Steve Shkoller, Tristan Buckmaster, Jacob Bedrossian, Matthew Novack, and Isaac Neal. Vicol has multiple publications in prominent venues such as arXiv (Cornell University), Communications on Pure and Applied Mathematics, Annals of PDE, Inventiones mathematicae, and Notices of the American Mathematical Society.

The scientist has authored books published by notable presses. These include "The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations" released by the American Mathematical Society in 2022, and "Intermittent Convex Integration for the 3D Euler Equations" published by Princeton University Press in 2023.

Among recognitions, Vicol was awarded the Fellow of Alfred P. Sloan Foundation in 2015.

Best Publications

  • Nonuniqueness of weak solutions to the Navier-Stokes equation

    Tristan Buckmaster;Vlad Vicol

  • Nonlinear maximum principles for dissipative linear nonlocal operators and applications

    Peter Constantin;Vlad Vicol

  • Onsager's Conjecture for Admissible Weak Solutions

    Tristan Buckmaster;Camillo De Lellis;László Székelyhidi;Vlad Vicol

  • The Sobolev Stability Threshold for 2D Shear Flows Near Couette

    Jacob Bedrossian;Vlad Vicol;Fei Wang

  • Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the 2D Couette flow

    Jacob Bedrossian;Nader Masmoudi;Vlad Vicol

  • Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow

    Jacob Bedrossian;Nader Masmoudi;Vlad Vicol

  • Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise

    Nathan E. Glatt-Holtz;Vlad C. Vicol

  • Convex integration and phenomenologies in turbulence

    Tristan Buckmaster;Vlad Vicol

  • Nonuniqueness of weak solutions to the SQG equation

    Tristan Buckmaster;Steve Shkoller;Vlad Vicol

  • On the local existence of analytic solutions to the Prandtl boundary layer equations

    Igor Kukavica;Vlad Vicol

  • Long Time Dynamics of Forced Critical SQG

    Peter Constantin;Andrei Tarfulea;Vlad Vicol

  • Almost Global Existence for the Prandtl Boundary Layer Equations

    Mihaela Ignatova;Vlad Vicol

  • ON THE LOCAL WELL-POSEDNESS OF THE PRANDTL AND HYDROSTATIC EULER EQUATIONS WITH MULTIPLE MONOTONICITY REGIONS ∗

    Igor Kukavica;Nader Masmoudi;Vlad Vicol;Tak Kwong Wong

  • On the radius of analyticity of solutions to the three-dimensional Euler equations

    Igor Kukavica;Vlad Vicol

  • Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

    Tristan Buckmaster;Maria Colombo;Vlad Vicol

  • Global well-posedness for an advection–diffusion equation arising in magneto-geostrophic dynamics

    Susan Friedlander;Vlad Vicol

  • Hölder Continuous Solutions of Active Scalar Equations

    Philip Isett;Vlad Vicol

  • Global regularity for 2D Muskat equations with finite slope

    Peter Constantin;Francisco Gancedo;Roman Shvydkoy;Vlad Vicol

  • Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

    Igor Kukavica;Roger Temam;Vlad C. Vicol;Mohammed Ziane

  • Vortex Axisymmetrization, Inviscid Damping, and Vorticity Depletion in the Linearized 2D Euler Equations

    Jacob Bedrossian;Michele Coti Zelati;Vlad Vicol;Vlad Vicol

  • On the inviscid limit of the Navier-Stokes equations

    Peter Constantin;Igor Kukavica;Vlad Vicol

Frequent Co-Authors

Igor Kukavica
Igor Kukavica University of Southern California
Peter Constantin
Peter Constantin Princeton University
Luis Silvestre
Luis Silvestre University of Chicago
Nader Masmoudi
Nader Masmoudi Courant Institute of Mathematical Sciences
Steve Shkoller
Steve Shkoller University of California, Davis
Jiahong Wu
Jiahong Wu University of Notre Dame
Roger Temam
Roger Temam Indiana University
Camillo De Lellis
Camillo De Lellis Institute for Advanced Study
Vladimír Šverák
Vladimír Šverák University of Minnesota
Alexander Kiselev
Alexander Kiselev Duke University

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