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Natasa Pavlovic

  • Professor
  • Mathematics
Profile image of Natasa Pavlovic
natasa@math.utexas.edu
PMA
12.162
Nataša Pavlović

Biography

Nataša Pavlović is a professor in the Department of Mathematics at The University of Texas at Austin. She earned her bachelor's degree in mathematics from the University of Belgrade in 1996 and completed her Ph.D. at the University of Illinois at Chicago in 2002 under the joint supervision of Susan Friedlander and Nets Katz.

Following her doctorate, Pavlović held positions at the Clay Mathematics Institute, Princeton University, the Institute for Advanced Study, and the Mathematical Sciences Research Institute. She joined the faculty at Princeton University in 2005 and moved to UT Austin in 2007.

Her research focuses on fluid dynamics and nonlinear dispersive partial differential equations. She is particularly known for her collaborative work with Nets Katz, where they developed an approach to constructing singularities in equations resembling the Navier–Stokes equations by transferring a finite amount of energy through an infinitely decreasing sequence of time and length scales.

Throughout her career, Pavlović has received several honors, including a Sloan Research Fellowship from 2008 to 2012. In 2015, she was elected as a fellow of the American Mathematical Society. Additionally, she served as a Council Member at Large for the American Mathematical Society from 2013 to 2015.

Research

PDE, Harmonic Analysis, Mathematical Fluid Dynamics, Nonlinear Dispersive Equations.

Research Areas

  • Mathematics

Fields of Interest

  • Analysis

Education

  • Ph.D., University of Illinois at Chicago (2002)

Publications

  • Papers in Press or Submitted for Publication:

    (1) Thomas Chen and Natasa Pavlovic, Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in d = 2; 3 based on spacetime norms. Submitted for publication.

    (2) Thomas Chen and Natasa Pavlovic, Higher order energy conservation and global wellposedness of solutions for Gross-Pitaevskii hierarchies. Submitted for publication.

    (3) Aynur Bulut, Magdalena Czubak, Dong Li, Natasa Pavlovic and Xiaoyi Zhang, Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions. Submitted for publication.

    (4) Thomas Chen, Natasa Pavlovic and Nikolaos Tzirakis, Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy. Accepted to Contemporary Mathematics.

    (5) Thomas Chen and Natasa Pavlovic, A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda type estimate. Accepted to Communications in Mathematical Physics.

    (6) Thomas Chen and Natasa Pavlovic, A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies. To appear in Proceedings of AMS.

    List of Published Papers - Refereed Articles in Journals:
    (7) Thomas Chen and Natasa Pavlovic, The quintic NLS as the mean eld limit of a Boson gas with three-body interactions. Journal of Functional Analysis, 260, No. 4 (2011), 959-997.

    (8) Thomas Chen, Natasa Pavlovic and Nikolaos Tzirakis, Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies. Annales de l'Institut Henri Poincare (C) / Analyse non lineaire 27, No. 5 (2010), 1271-1290.

    (9) Thomas Chen and Natasa Pavlovic, Recent results on the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies. Math. model. nat. phenom. 5, No. 4 (2010), 54-72.

    (10) Thomas Chen and Natasa Pavlovic, On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies. Discrete and Continuous Dynamical Systems - Series A 27, No. 2 (2010), 715-739.

    (11) Alexey Cheskidov, Susan Friedlander and Natasa Pavlovic, An inviscid dyadic model of turbulence: the global attractor. Discrete and Continuous Dynamical Systems - Series A 26, No. 3 (2010), 781-794.

Awards

  • College of Natural Sciences Teaching Excellence Award, University of Texas at Austin, 2010
  • John R. Durbin Teaching Excellence in Mathematics Award, Department of Mathematics, University of Texas at Austin, 2009
  • Alfred P. Sloan Research Fellowship 2008-2012
  • Clay Mathematics Institute Prize Fellowship, Special Research Project, Summer 2002
  • Provost's Award for Graduate Research, University of Illinois at Chicago, Academic year 2001/2002
  • University Fellowship, University of Illinois at Chicago, Academic year 2001/2002
  • Viktor Twersky Memorial Scholarship Award, University of Illinois at Chicago, September 2000
  • Departmental Fellowship, Department of Mathematics, Statistics and Computer Science
  • University of Illinois at Chicago, Academic year 2000/2001, Award for Excellence in Teaching
  • Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Spring 1999