Selected Publications

  • A Remark on the Characterization of the Gradient of Distributions
    Applicable Analysis, vol 51, 1993, 35-40.
  • An Energy Equation for Weakly Damped Driven Nonlinear Schrödinger Equations and Its Application to Their Attractors
    Physica D, 88 (1995) 167-175.
  • Upper Bound on the Dimension of the Attractor for the Nonhomogeneous Navier-Stokes Equations
    With Alain Miranville
    Discrete and Continuous Dynamical Systems, Vol 2, No. 1, 1996, pp. 95-110.
  • Time Averaged Energy Dissipation Rate of Boundary Driven Flows
    Physica D, 99 (1997) 555-563
  • Asymptotic Analysis of Oseen Type Equations in a Channel at High Reynolds Number
    With Roger Temam
    Indiana Univ. Math. J., 45(3), 1996, pp. 863-916.
  • Attractor Dimension Estimates for Two-dimensional Shear Flows
    With Charles Doering
    Physica D, 123 (1998) 206-222.
  • Attractors for Non-Compact Semigroups via Energy Equations
    with Ioana Moise and Ricardo Rosa
    Nonlinearity, 11, 1998, 1369-1393.
  • Selective Decay for Geophysical Flows
    with Andrew Majda and Sang-Yeun Shim, Dedicated to Cathleen Morawetz on the occasion of her 75th birthday,
    Methods and Applications of Analysis, vol. 7, no. 3, pp. 511 - 554, 2000.
  • Effect of tangential derivatives in the boundary layer on the energy dissipation rate
    Physica D, 144(2000) 142-153.
  • Remarks on the Prandtl type equations with permeable wall
    with Roger Temam
    Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 80(2000), 11-12, 835-843.
  • A Kato type theorem on zero viscosity limit of Navier-Stokes flows
    Indiana Univ. Math. Jour., Vol.50, No.1 (2001), 223-241.
  • Boundary Layer Associated with the Incompressible Navier-Stokes Equations: the non-characteristic boundary case
    with Roger Temam
    J. Diff. Eqs., Vol.179, (2002), 647-686.
  • Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows
    with Andrew J. Majda
    Book to be published by Cambridge University Press.