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Mathematics

D-Index
31
Citations
4934
World Ranking
3308
National Ranking
216

Overview

Gregory Seregin is affiliated with the University of Oxford in the United Kingdom. Their research primarily revolves around mathematics and engineering, with a notable focus on applied mathematics, mathematical physics, and control and systems engineering.

The scientist's work extensively addresses topics such as Navier-Stokes equation solutions, advanced mathematical physics problems, stability and controllability of differential equations, advanced mathematical modeling in engineering, computational fluid dynamics and aerodynamics, nonlinear partial differential equations, and differential equations with numerical methods.

Among their recent papers are: Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations (2020, St Petersburg Mathematical Journal), Local regularity of axisymmetric solutions to the Navier-Stokes equations (2020, Analysis and Mathematical Physics), A Note on Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations (2022, Journal of Mathematical Fluid Mechanics), A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier-Stokes Equations (2022, Journal of Mathematical Fluid Mechanics), and On Type I Blowups of Suitable Weak Solutions to the Navier-Stokes Equations Near Boundary (2022, Journal of Mathematical Sciences).

Frequent coauthors in their work include Varga Κ. Kalantarov, Sergey Zelik, Alexander I. Nazarov, Francis Hounkpe, and G. I. Bizhanova.

Publication venues where Seregin has frequently contributed include arXiv (Cornell University), St Petersburg Mathematical Journal, Journal of Mathematical Fluid Mechanics, Успехи математических наук, and Russian Mathematical Surveys.

Gregory Seregin has also contributed to book publications. One book titled Attractors for Semigroups and Evolution Equations was published by Cambridge University Press in 2022, and another, Lecture Notes on Regularity Theory for the Navier-Stokes Equations, is expected to be published by World Scientific in 2025.

Best Publications

  • L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

    L Escauriaza;G A Seregin;Vladimir Sverak

  • Liouville theorems for the Navier–Stokes equations and applications

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

  • On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier-Stokes equations

    O. A. Ladyzhenskaya;G. A. Seregin

  • Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

    Martin Fuchs;Gregory Seregin

  • Backward Uniqueness for Parabolic Equations

    L. Escauriaza;G. Seregin;V. Šverák

  • Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions

    Max D. Gunzburger;Hyung-Chun Lee;Gregory A. Seregin

  • Regularity results for parabolic systems related to a class of non-Newtonian fluids

    E Acerbi;G Mingione;G. A. Seregin

  • A Certain Necessary Condition of Potential Blow up for Navier-Stokes Equations

    G. Seregin

  • $L_{3,\infty}$-решения уравнений Навье - Стокса и обратная единственность@@@$L_{3,\infty}$-solutions of the Navier - Stokes equations and backward uniqueness

    Л Искауриаза;Luis Escauriaza;Григорий Александрович Серeгин;Grigorii Aleksandrovich Seregin

  • The real butterfly effect

    T N Palmer;A Döring;A Döring;G Seregin

  • Local Regularity of Suitable Weak Solutions to the Navier—Stokes Equations Near the Boundary

    G. A. Seregin

  • On divergence-free drifts

    Gregory Seregin;Luis Silvestre;Vladimír Šverák;Andrej Zlatoš

  • Lecture Notes On Regularity Theory For The Navier-stokes Equations

    Gregory Seregin

  • Navier-Stokes equations with lower bounds on the pressure

    G. Seregin;Vladimir Sverak

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

    G. Seregin;V. Šverák

  • Liouville type theorem for stationary Navier–Stokes equations

    G Seregin;G Seregin

  • On smoothness of L3,∞-solutions to the Navier–Stokes equations up to boundary

    Gregory Seregin

  • Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality

    Unknown

  • BACKWARD UNIQUENESS FOR THE HEAT OPERATOR IN A HALF-SPACE

    L. Escauriaza;G. Seregin;V. Šverák

  • Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces

    G. A. Seregin

  • A regularity theory for variational integrals with $L\ln L$ -Growth

    Martin Fuchs;Gregory Seregin

  • On the number of singular points of weak solutions to the Navier-Stokes equations

    Gregory A. Seregin

  • Topics in mathematical fluid mechanics

    Peter Constantin;Arnaud Debussche;Giovanni P. Galdi;Michael Ruzicka

  • The Navier-Stokes equations and backward uniqueness

    G. Seregin;V. Sverak

Frequent Co-Authors

Vladimír Šverák
Vladimír Šverák University of Minnesota
Peter Constantin
Peter Constantin Princeton University
Luis Escauriaza
Luis Escauriaza University of the Basque Country
Giuseppe Mingione
Giuseppe Mingione University of Parma
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh
Luis Silvestre
Luis Silvestre University of Chicago
Max D. Gunzburger
Max D. Gunzburger Florida State University
Edriss S. Titi
Edriss S. Titi Texas A&M University
Michael Růžička
Michael Růžička University of Freiburg
Tim Palmer
Tim Palmer University of Oxford

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