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Mathematics

D-Index
37
Citations
5601
World Ranking
2509
National Ranking
1044

Overview

Vladimír Šverák is affiliated with the University of Minnesota in the United States. Their research primarily spans the fields of Mathematics and Engineering, with a particular focus on Applied Mathematics, Computational Mechanics, and Mathematical Physics. Additional areas of study include Control and Systems Engineering and Oceanography.

Šverák's work extensively covers topics related to the Navier-Stokes equation solutions, fluid dynamics and turbulent flows, advanced mathematical physics problems, stability and controllability of differential equations, computational fluid dynamics and aerodynamics, as well as geophysics and gravity measurements.

Frequent collaborators in Šverák's research include Thierry Gallay, Julien Guillod, and Félix Otto. The scientist has contributed to multiple publication venues, prominently including:

  • arXiv (Cornell University)
  • Journal of Mathematical Fluid Mechanics
  • Inventiones mathematicae
  • Analysis & PDE
  • Annales mathématiques du Québec

The recent papers authored by Vladimír Šverák demonstrate their research interests and collaborations:

  • "Numerical Investigations of Non-uniqueness for the Navier-Stokes Initial Value Problem in Borderline Spaces", 2023, Journal of Mathematical Fluid Mechanics
  • "Vanishing viscosity limit for axisymmetric vortex rings", 2024, Inventiones mathematicae
  • "Arnold's variational principle and its application to the stability of planar vortices", 2024, Analysis & PDE
  • "Vanishing viscosity limit for axisymmetric vortex rings", 2023, arXiv (Cornell University)
  • "Arnold's variational principle and its application to the stability of planar vortices", 2021, arXiv (Cornell University)

Best Publications

  • On Leray's self-similar solutions of the Navier-Stokes equations

    J. Nečas;J. Nečas;M. Růžička;V. Šverák

  • Rank-one convexity does not imply quasiconvexity

    Vladimír Šverák;Vladimír Šverák

  • Liouville theorems for the Navier–Stokes equations and applications

    Gabriel Koch;Nikolai Nadirashvili;Gregory A. Seregin;Vladimir Šverák

  • Convex integration for Lipschitz mappings and counterexamples to regularity

    Stefan Müller;Vladimír Sverák

  • Regularity properties of deformations with finite energy

    Vladimír Šverák

  • On mappings with integrable dilatation

    Tadeusz Iwaniec;Tadeusz Iwaniec;Vladimir Sverak;Vladimir Sverak

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

    Alexander Kiselev;Vladimir Šverák

  • Backward Uniqueness for Parabolic Equations

    L. Escauriaza;G. Seregin;V. Šverák

  • Non-Lipschitz minimizers of smooth uniformly convex functionals.

    Vladimír Sverák;Xiaodong Yan

  • Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

    Hao Jia;Vladimír Šverák

  • On surfaces of finite total curvature

    S. Müller;V. Šverák

  • On divergence-free drifts

    Gregory Seregin;Luis Silvestre;Vladimír Šverák;Andrej Zlatoš

  • Navier-Stokes equations with lower bounds on the pressure

    G. Seregin;Vladimir Sverak

  • A singular minimizer of a smooth strongly convex functional in three dimensions

    Vladimír Šverák;Xiaodong Yan

  • On the problem of two wells

    Vladimír Šverák

  • On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations

    G. Seregin;V. Šverák

  • Are the incompressible 3d Navier–Stokes equations locally ill-posed in the natural energy space?

    Hao Jia;Vladimir Sverak

  • New examples of quasiconvex functions

    Vladimír Šverák

  • On Tartar’s conjecture

    Vladimír Šverák

  • Quasiconvex functions with subquadratic growth

    Vladimir Sverak

Frequent Co-Authors

Gregory Seregin
Gregory Seregin University of Oxford
Alexander Kiselev
Alexander Kiselev Duke University
Josef Málek
Josef Málek Charles University
Michael Růžička
Michael Růžička University of Freiburg
Peter Poláčik
Peter Poláčik University of Minnesota
Tadeusz Iwaniec
Tadeusz Iwaniec Syracuse University
Luis Silvestre
Luis Silvestre University of Chicago
Thomas Y. Hou
Thomas Y. Hou California Institute of Technology
Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Luis Escauriaza
Luis Escauriaza University of the Basque Country

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