Publications

Uniqueness for active scalar equations in a Zygmund space (Submitted for Publication)

Well-posedness of the 2D Euler equations when velocity grows at infinity (with J. Kelliher). (Discrete and Continuous Dynamical Systems - Series A, 39(5): 2361-2392, 2019)

The aggregation equation with Newtonian potential: the vanishing viscosity limit (with G. Gie and J. Kelliher). (Journal of Mathematical Analysis and Applications, 453(2): 841-893, 2017)

Incompressible Euler equations and the effect of changes at a distance (with J. Kelliher). ( Journal of Mathematical Fluid Mechanics, 18(4): 765-781, 2016)

Solutions to the 2D Euler equations with velocity unbounded at infinity. (Journal of Mathematical Analysis and Applications, 431(1): 144-161, 2015)

The axisymmetric Euler equations with vorticity in borderline spaces of Besov type. (Journal of Dynamics and Differential Equations, 26(4): 1095-1114, 2014)

Vanishing viscosity in the plane for nondecaying velocity and vorticity II. (Pacific Journal of Mathematics, 270(2): 335-350, 2014)

On optimal estimates for the Laplace-Leray commutator in planar domains with corners (with R. Pego). (Proceedings of the American Mathematical Society, 139: 1691-1706, 2011)

A finite time result for vanishing viscosity in the plane with nondecaying vorticity. (Communications in Mathematical Sciences, 8(4): 851-862, 2010)

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

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)