Publications and Preprints:

• Critical SQG in bounded domains, with P. Constantin, M. Ann. PDE 2 (2016), no. 8. paper

• On the local existence of the free-surface Euler equation with surface tension, with I. Kukavica, Asymptotic Analysis 100 (2016), no. 1-2, 63-86. paper

• On some electroconvection models, with P. Constantin, T. Elgindi, and V. Vicol, arXiv:1512.00676 [math.AP], doi:10.1007/s00332-016-9329-2, (to appear at JNLS), (2016). paper

• Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields, with P. Constantin, T. Elgindi, and V. Vicol, SIMA J. Math. Anal. 49 (2017), no. 3, 1932-1946. paper

• Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications, with P. Constantin, Int Math Res Notices 2017 (2017), no. 6, 1653-1673. paper

• Almost global existence for the Prandtl boundary layer equations, with V. Vicol, Arch. Rational Mech. Anal. 220 (2016), no. 2, 809-848. paper

• Small data global existence for a fluid-structure model, with I. Kukavica, I. Lasiecka, and A. Tuffaha, Nonlinearity 30 (2017), 848-898. paper

• Global well-posedness results for two extended Navier-Stokes systems, with G. Iyer, J. Kelliher, R. Pego, A. Zarnescu, Commun. Math. Sci. 13 (2015), no. 1, 249-267. paper

• On the continuity of solutions to advection-diffusion equations with slightly super-critical divergence-free drifts, Advances in Nonlinear Analysis 3 (2014), no. 2, 81-86.

• On well-posedness and small data global existence for an interface damped free boundary fluid-structure model, with I. Kukavica, I. Lasiecka, and A. Tuffaha, Nonlinearity 27 (2014), no.3, 467–499. paper

• The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity, with I. Kukavica, L. Ryzhik, Comm. PDEs 41 (2016), no. 2, 208–226. paper

• The Harnack inequality for second-order elliptic equations with divergence-free drifts, with I. Kukavica, L. Ryzhik, Commun. Math. Sci. (2014) 12, no. 4, 681-694. paper

• On the well-posedness for a free boundary fluid-structure model, with I. Kukavica, I. Lasiecka, and A. Tuffaha, J. Math. Phys. 53 (2012), no. 11, 115624, 13pp. paper

• Local existence of solutions to the free boundary value problem for the primitive equations of the ocean, with I. Kukavica and M. Ziane, J. Math. Phys. 53 (2012), no. 10, 103101, 17pp. paper

• Strong unique continuation for the Navier-Stokes equation with non-analytic forcing, with I. Kukavica, J. Dynam. and Differential Equations 25 (2013), no. 1, 1-15. paper

• Strong unique continuation for higher order elliptic equations with Gevrey coefficients, with I. Kukavica, J. Differential Equations 252 (2012), no. 4, 2983-3000. paper

• Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients, with I. Kukavica, Adv. Differential Equations 15 (2010), no. 9, 953-975. paper