School of Mathematics
University of Minnesota
127 Vincent Hall
206 Church St. S.E.
Minneapolis, MN 55455
Office: VinH 535
Phone: (612) 625-9347
Fax: (612) 626-2017
Email address: lthoang(at)math(dot)umn(dot)edu
Homepage: http://www.math.umn.edu/~lthoang/

Teaching

Research

Interest

  • Partial differential equations, fluid dynamics.

Publications

  • Incompressible fluids in thin domains with Navier friction boundary conditions, 2007, submitted.
  • Navier-Stokes equations with Navier boundary conditions in nearly flat domains, (with George Sell), 2007, submitted.
  • A basic inequality for the Stokes operator related to the Navier boundary condition, 2007, accepted to JDE
  • The normal form of the Navier-Stokes equations in suitable normed spaces, (with Ciprian Foias, Eric Olson, Mohammed Ziane), 2006, preprint.
  • On the helicity in 3D Navier-Stokes equations II: The statistical case, (with Ciprian Foias, Basil Nicolaenko), 2007, preprint.
  • On the solutions to the normal form of the Navier-Stokes equations, (with Ciprian Foias, Eric Olson, Mohammed Ziane), IUMJ Vol. 55, No 2 (2006) 631-686. ( pdf )
  • On the helicity in 3D Navier-Stokes equations I: The non-statistical case, (with Ciprian Foias, Basil Nicolaenko), PLMS Volume 94 Number 1 (January 2007) 53-90. (doi: 10.1112/plms/pdl003)

Theses/Dissertation

  • Asymptotic expansions of the regular solutions to the 3D Navier-Stokes equations and applications to the analysis of the helicity. Ph.D. dissertation, 2005. [.pdf]
  • Blowup versus regularity in the three dimensional Euler and Navier-Stokes equations. MA thesis, 2000. [.dvi]   [.pdf]   [.ps]
  • Holder continuity of the first derivatives of solutions of elliptic equations. BS thesis, 1997.

Conferences

Visits

  • June-August, 2005 Department of Mathematics, Indiana University

Cirriculum Vita

Education

CV

Links

TEX on the web

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