Mathematical Writing

  • Vanishing viscosity in the plane for nondecaying velocity and vorticity. (SIAM Journal on Mathematical Analysis, 41(2): 495-510, 2009)

  • On optimal estimates for the Laplace-Leray commutator in planar domains with corners (with R. Pego). (Submitted for publication)

  • On the axisymmetric Euler equations with vorticity in borderline spaces of Besov type. (Submitted for publication)

  • A finite time result for vanishing viscosity in the plane with nondecaying vorticity. (to appear in Communications in Mathematical Sciences, )

  • An initial value problem for two-dimensional ideal incompressible fluids with continuous vorticity. (Mathematical Research Letters, 14(4): 573-588, 2007)

  • Vanishing viscosity in the plane for vorticity in borderline spaces of Besov type (with J. Kelliher). (Journal of Differential Equations, 235(2): 647-657, 2007)

  • Incompressible fluids with vorticity in Besov spaces (PhD Thesis, University of Texas at Austin)