University Lecturer in Pure Mathematics Tutorial Fellow at St. Hilda's College
+44 1865 615118
Address
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
ISBN-13: 9789814623414
(1 January 2014)
Highlighted Publications:
A Certain Necessary Condition of Potential Blow up for Navier-Stokes Equations
Communications in Mathematical Physics
issue 3
volume 312
page 833-845
(1 June 2012)
On divergence-free drifts
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
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
Proceedings of the International Congress of Mathematicians. Volume III
page 2105-2127
(2010)
Liouville theorems for the Navier-Stokes equations and applications
Acta Mathematica
issue 1
volume 203
page 83-105
(1 September 2009)
Recent Publications:
Time decay for solutions to the Stokes equations with drift
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
issue 3
volume 20
(May 2018)
Full text available
On stability of weak Navier–Stokes solutions with large L3,∞initial data
Communications in Partial Differential Equations
page 1-24
(1 May 2018)
A necessary condition of potential blowup for the Navier-Stokes system in half-space
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
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
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:
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