Vladimir Sverak's HomepageContact InfoVincent Hall 236612-625-1899 e-mail: sverak"at"math.umn.edu Office HoursFriday 2:20-3:20 or by appointmentResearch InterestsPartial Differential EquationsCoursesFall 2011 / Spring 2012: Topics in Mathematical Physics, Math 8390/8391, Course notesFall 2010 / Spring 2011: Theory of PDE, Math 8583/8584, Course notes Recent PublicationsThe research has been supported in part by grant DMS 0800908 from the National Science Foundation.Local structure of the set of steady-state solutions to the 2d incompressible Euler's equations (with A. Choffrut) Backward uniqueness for the heat equations in cones (with Lu Li) On divergence-free drifts (with L. Silvestre, G. Seregin, and A. Zlatos) PDE aspects of the Navier-Stokes equations Minimal initial data for potential Navier-Stokes singularities (with W. Rusin) On Type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations (with G. Seregin) On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains (with A. Korolev) Liouville theorems for the Navier-Stokes 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 Navier-Stokes Equations Parabolic systems with nowhere smooth solutions (with S. Mueller and M. Rieger), Arch. Ration. Mech. Anal. 177 (2005), no. 1, 1--20. $L\sb {3,\infty}$-solutions of Navier-Stokes equations and backward uniqueness (with L. Escauriaza and G. Seregin), Uspekhi Mat. Nauk 58, no. 2 (350), 3--44; Convex integration for Lipschitz mappings and counterexamples to regularity (with S. Mueller), Ann. of Math. (2) 157 (2003), no. 3, 715--742. LinksPDE seminar
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