Vladimir Sverak's Homepage
Contact Info
Vincent Hall 236
6126251899
email: sverak"at"math.umn.edu
Office Hours
Monday 2:20  3:35, Wednesday 2:20  3:35 or by appointment
Research Interests
Partial Differential Equations
Courses
Spring 2014:
Topics in PDE, Math 8590
Spring 2013:
Introduction to Ordinary Differential Equations, Math 5525,
Textbook , Course Materials
Fall 2011 / Spring 2012:
Topics in Mathematical Physics, Math 8390/8391,
Course notes
Fall 2010 / Spring 2011:
Theory of PDE, Math 8583/8584,
Course notes
Recent Publications
The research has been supported in part by grants DMS 0800908 and DMS 1101428 from the National Science Foundation.
Small scale creation for solutions of the incompressible two dimensional Euler equation
(with A. Kiselev)
Are the incompressible 3d NavierStokes equations locally illposed in the natural energy space?
(with H. Jia)
On Inviscid Limits for the Stochastic NavierStokes Equations
and Related Models (with N. GlattHoltz and V. Vicol)
Rescalings at possible singularities of NavierStokes equations in half space (with G. Seregin)
On the Cauchy problem for axisymmetric
vortex rings (with H. Feng)
Localinspace estimates near initial time for weak solutions of the NavierStokes equations and forward selfsimilar solutions (with H. Jia)
On scaleinvariant solutions of the NavierStokes equations (with H. Jia), Proceedings of the 6th ECM, Krakow
Minimal $L^3$initial data for potential NavierStokes singularities (with H. Jia)
Liouville theorems in unbounded domains for the timedependent Stokes system
(with H. Jia and G. Seregin)
Local structure of the set of steadystate solutions to the 2d incompressible
Euler's equations (with A. Choffrut)
Backward uniqueness for the heat equations in cones (with Lu Li)
On divergencefree drifts (with L. Silvestre, G. Seregin, and A. Zlatos)
PDE aspects of the NavierStokes equations
Minimal initial data for potential NavierStokes singularities
(with W. Rusin)
On Type I singularities of the local axisymmetric solutions of the NavierStokes equations
(with G. Seregin)
On the largedistance asymptotics of steady state solutions of the NavierStokes equations in
3D exterior domains
(with A. Korolev)
Liouville theorems for the NavierStokes equations and applications
(with G. Koch, N. Nadirashvili and G. Seregin)
Zeros of complex caloric functions and singularities of complex viscous Burgers equations
(with P. Polacik)
On Landau's solutions of the NavierStokes Equations
Parabolic systems with nowhere smooth solutions (with S. Mueller and M. Rieger),
Arch. Ration. Mech. Anal. 177 (2005), no. 1, 120.
$L\sb {3,\infty}$solutions of NavierStokes equations and backward uniqueness (with L. Escauriaza and G. Seregin),
Uspekhi Mat. Nauk 58, no. 2 (350), 344;
Convex integration for Lipschitz mappings and counterexamples to regularity (with S. Mueller),
Ann. of Math. (2) 157 (2003), no. 3, 715742.
Links
PDE seminar
School of Mathematics
Recent Arxiv PDE preprints
MathSciNet
 Last Modified Tuesday January 21, 2014 The views and opinions expressed in this page are strictly those of the page author.
The contents of this page have not been reviewed or approved by the University of Minnesota.

