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
Teaching
2015/2016:
Mathematical Fluid Mechanics, Math 8431/8432
Materials from selected previous courses
Introduction to Ordinary Differential Equations, Math 5525,
Textbook , Course Materials
Selected Topics in Fluid Mechanics (an introductory graduate course taught in 2011/2012),
Course notes
Theory of PDE (an introductory graduate course taught in 2010/2011),
Course notes
Recent Publications
The research has been supported in part by grants DMS 1101428 and DMS 1362467 from the National Science Foundation.
On global weak solutions to the Cauchy problem for the NavierStokes equations with large L3initial data (with G. Seregin)
On 2d incompressible Euler equations with partial damping (with T. Elgindi and W. Hu)
Dynamics of geodesic flows with random forcing on Lie groups with leftinvariant metrics (with W. Hu)
Remarks on the Cauchy problem for the axisymmetric NavierStokes equations (with Thierry Gallay)
On the FiniteTime Blowup of a 1D Model for the 3D Axisymmetric Euler Equations (with K. Choi, G. Luo, T. Hou, A. Kiselev, and Y. Yao)
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 Sunday April 03, 2016 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.

