Prof. Gregory Seregin | Mathematical Institute

Prof. Gregory Seregin

Academic Faculty

University Lecturer in Pure Mathematics Tutorial Fellow at St. Hilda's College

CV (63.36K)

+44 1865 615118

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent Books:

Lecture notes on regularity theory for the Navier-Stokes equations
Seregin, G;
ISBN-13: 9789814623414 (1 January 2014)

Highlighted Publications:

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

A Certain Necessary Condition of Potential Blow up for Navier-Stokes Equations
Seregin, G;
Communications in Mathematical Physics issue 3 volume 312 page 833-845 (1 June 2012)

On divergence-free drifts

On divergence-free drifts
Seregin, G; Silvestre, L; Šverák, V; Zlatoš, A;
Journal of Differential Equations issue 1 volume 252 page 505-540 (1 January 2012)

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations
Constantin, P; Seregin, G;
Discrete and Continuous Dynamical Systems. Series A volume 26 page 1185-1196 (2010)

Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities

Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities
Seregin, GA;
Proceedings of the International Congress of Mathematicians. Volume III page 2105-2127 (2010)

Liouville theorems for the Navier-Stokes equations and applications

Liouville theorems for the Navier-Stokes equations and applications
Koch, G; Nadirashvili, N; Seregin, GA; Šverák, V;
Acta Mathematica issue 1 volume 203 page 83-105 (1 September 2009)

Recent Publications:

On stability of weak Navier–Stokes solutions with large L^3,∞initial data

On stability of weak Navier–Stokes solutions with large L^3,∞initial data
Barker, T; Seregin, G; Šverák, V;
Communications in Partial Differential Equations page 1-24 (1 May 2018)

Time decay for solutions to the Stokes equations with drift

Time decay for solutions to the Stokes equations with drift
Schonbek, M; Seregin, G;
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS issue 3 volume 20 (May 2018) Full text available

A necessary condition of potential blowup for the Navier-Stokes system in half-space

A necessary condition of potential blowup for the Navier-Stokes system in half-space
Barker, T; Seregin, G;
MATHEMATISCHE ANNALEN issue 3-4 volume 369 page 1327-1352 (December 2017) Full text available

Remark on Wolf’s Condition for Boundary Regularity of the Navier–Stokes Equations

Remark on Wolf’s Condition for Boundary Regularity of the Navier–Stokes Equations
Seregin, G;
Journal of Mathematical Sciences (United States) page 1-7 (5 June 2017)

On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large L-3-initial data

On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large L-3-initial data
Seregin, G; Sverak, V;
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS volume 154 page 269-296 (May 2017) Full text available

Research Interests:

Partial Differential Equations

Teaching:

HT11: Calculus of Variations, C5.2b

TCC course 2009-2011: Mathematical Hydrodynamics http://people.maths.ox.ac.uk/seregin/

MT11,MT12,MT13: Methods of Functional Analysis for PDE's, C5.1a

MT14,MT15: Functional Analytic Methods for PDE's, C4.3

HT15,HT16,HT17: CDT-TCC course on parabolic PDE's

HT17: Hilbert Spaces, B4.2

Prizes, Awards, and Scholarships:

Humboldt Research Award, 2002

Sophja Kovalevskaya Prize of the Russian Academy of Sciences, 2003

Pathway Lecture Series in Mathematics, Keio University, Japan, February, 2006

Ordway Distinguished Lecture Series, University of Minnesota, USA, April, 2007, October, 2016.

Invited talk, International Congress of Mathematicians, Hyderabad, India, 2010

Major / Recent Publications:

MR1810507 (2001k:74043) Fuchs, Martin; Seregin, Gregory Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Lecture Notes in Mathematics, 1749.Springer-Verlag, Berlin, 2000. vi+269 pp. ISBN: 3-540-41397-9

MR2827878 Seregin, Gregory A. Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. Proceedings of the International Congress of Mathematicians. Volume III, 2105–2127, Hindustan Book Agency, New Delhi, 2010, 35Q30 (35B65 35D30 76D05) PDF Clipboard Series Chapter

MR3289443 Seregin, Gregory Lecture notes on regularity theory for the Navier-Stokes equations. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015. x+258 pp. ISBN: 978-981-4623-40-7

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