Nataša Pavlović

Publications Record

 

 

    Papers in Press or Submitted for Publication

  1. T. Chen and N. Pavlović
    Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in $d=2,3$ based on spacetime norms
    Submitted for publication, arXiv

  2. T. Chen and N. Pavlović
    Higher order energy conservation, Gagliardo-Nirenberg-Sobolev inequalities and global well-posedness for Gross-Pitaevskii hierarchies
    Submitted for publication, arXiv

  3. A. Bulut, M. Czubak, D. Li, N. Pavlović and X. Zhang
    Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
    Submitted for publication, arXiv

  4. T. Chen, N. Pavlović and N. Tzirakis
    Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy
    Accepted to Contemporary Mathematics, arXiv

  5. T. Chen and N. Pavlović
    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, arXiv

  6. T. Chen and N. Pavlović
    A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies
    To appear in Proceedings of AMS, arXiv

    Refereed articles in journals

  7. T. Chen and N. Pavlović
    The quintic NLS as the mean field limit of a Boson gas with three-body interactions
    Journal of Functional Analysis 260, No. 4 (2011), 959--997, arXiv

  8. T. Chen, N. Pavlović and N. 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, arXiv

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

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

  11. A. Cheskidov, N. Pavlović and S. Friedlander
    An inviscid dyadic model of turbulence: the global attractor
    Discrete and Continuous Dynamical Systems - Series A 26, No. 3 (2010), 781--794, arXiv

  12. S. Friedlander, N. Pavlović and V. Vicol
    Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
    Communications in Mathematical Physics 292, No. 3 (2009), 797--810, arXiv

  13. H. Dong and N. Pavlović
    Regularity criteria for the dissipative quasi-geostrophic equations in Holder spaces
    Communications in Mathematical Physics 290, No. 3 (2009), 801--812.

  14. H. Dong and N. Pavlović
    A regularity criteria for the dissipative quasi-geostrophic equations
    Annales de l'Institut Henri Poincare (C) / Analyse non lineaire 26, No. 5 (2009), 1607-1619, arXiv

  15. J. Bourgain and N. Pavlović
    Ill-posedness of the Navier-Stokes equations in a critical space in 3D
    J. Funct. Anal. 255, No. 9 (2008), 2233--2247, arXiv

  16. D. De Silva, N. Pavlović, G. Staffilani and N. Tzirakis
    Correction to: Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in ${\mathbb R}$
    Communications in PDE 36, No. 2 (2011), 293--303, journal

  17. D. De Silva, N. Pavlović, G. Staffilani and N. Tzirakis
    Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in ${\mathbb R}$
    Communications in PDE 33, No. 8 (2008), 1395--1429, arXiv

  18. D. De Silva, N. Pavlović, G. Staffilani and N. Tzirakis
    Global Well-Posedness for the $L^2$-critical nonlinear Schr\"odinger equation in higher dimensions
    Communications on Pure and Applied Analysis 6, No. 4 (2007), 1023--1041, arXiv

  19. P. Germain, N. Pavlović and G. Staffilani
    Regularity of solutions to the Navier-Stokes equations evolving from small data in $BMO^{-1}$
    Int. Math. Res. Notices, 2007 Volume: article ID rnm087, (2007), arXiv

  20. A. Cheskidov, S. Friedlander and N. Pavlović
    An inviscid dyadic model of turbulence: the fixed point and Onsager's conjecture
    Journal of Mathematical Physics 48, No. 6 (2007), arXiv

  21. D. De Silva, N. Pavlović, G. Staffilani and N. Tzirakis
    Global Well-Posedness for a periodic nonlinear Schr\"odinger equation in 1D and 2D
    Discrete and Continuous Dynamical Systems - Series A 19, No. 1 (2007), 37--65, arXiv

  22. S. Friedlander, N. Pavlović and R. Shvydkoy
    Nonlinear instability for the Navier-Stokes equations
    Communications in Mathematical Physics 264, No. 2 (2006), 335--347, arXiv

  23. N. H. Katz and N. Pavlović
    Finite time blow-up for a dyadic model of the Euler equations
    Transactions of AMS 357, No. 2 (2005), 695--708, journal

  24. S. Friedlander and N. Pavlović
    Blow up in a three dimensional vector model for the Euler equations
    Communications on Pure and Applied Mathematics 57, No.6 (2004), 705--725, journal

  25. S. Friedlander and N. Pavlović
    Remarks concerning modified Navier-Stokes equations
    Discrete and Continuous Dynamical Systems - Series A 10 (2004), 269--288.

  26. N. Pavlović
    Bounds for sums of powers of eigenvalues of Schrodinger operators via the commutation method
    Advances in Differential Equations and Mathematical Physics (Birmingham, AL, 2002)
    Contemporary Mathematics 327 (2003), 271--281.

  27. N. H. Katz and N. Pavlović
    A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
    Geometric and Functional Analysis 12, No. 2 (2002), 355--379, arXiv

    Articles in proceedings

  28. N. Pavlović
    Regularity of solutions to the Navier-Stokes equations evolving from small initial data in a critical space
    Oberwolfach reports 27 (2008), 34--37.

  29. N. Pavlović
    On global well-posedness for defocusing $L^2$-critical NLS in 1D
    Oberwolfach reports 44 (2007), 25--29.

  30. S. Friedlander and N. Pavlović
    Dyadic models for the equations of fluid motion
    Proceedings of the MSRI workshop "Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik", (2006), pdf

  31. N. Pavlović
    On the paper by Beale-Kato-Majda and the paper by Kozono-Taniuchi
    Proceedings of the summer school on fluid dynamics UCLA (2001).

  32. N. Pavlović
    On the paper of Benguria and Loss
    Proceedings of the summer school on spectral theory of 1D Schrodinger operators UCLA (2000).

    Ph.D. Thesis

  33. N. Pavlović
    Use of Littlewood-Paley operators for the equations of fluid motion
    Ph.D. Thesis, University of Illinois at Chicago (2002), pdf