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(with A. Zlatos)
On discrete models of the Euler equation,
pdf,
IMRN 38 (2005) 2315--2339.

(with F. Nazarov and A. Volberg)
Global well-posedness for the critical 2D dissipative
quasi-geostrophic equation,
pdf,
Inventiones Math. 167 (2007) 445--453.

(with F. Nazarov and R. Shterenberg)
Blow up and regularity for fractal Burgers equation, pdf, Dyn. Partial Differ. Equ. 5 (2008), no. 3, 211--240.

(with F. Nazarov)
Global Regularity for the Critical Dispersive
Dissipative Surface Quasi-Geostrophic Equation, pdf, Nonlinearity 23 (2010), 549--554.

(with F. Nazarov)
A variation on a theme of Caffarelli and Vasseur, pdf, Zap. Nauchn. Sem. POMI 370 (2009), 58--72.

Some recent results on the
critical surface quasi-geostrophic equation: a review pdf, Hyperbolic problems:
theory, numerics and applications, 105--122, Proc. Sympos. Appl. Math., 67, Part 1, AMS, Providence, RI, 2009.

Regularity and blow up for active scalars, pdf, Math. Model.
Math. Phenom. 5 (2010), 225--255.

(with F. Nazarov)
A simple energy pump for the surface quasi-geostrophic equation, pdf, in Nonlinear Partial
Differential Equations, Proceedings of the Abel Symposium 2010, Helge Holden and Kenneth Karlsen, Editors.

Nonlocal maximum principles for active scalars, pdf, Adv. Math. 227 (2011), 1806--1826.

(with M. Dabkowski and V. Vicol)
Global well-posedness for a slightly supercritical surface quasi-geostrophic equation, pdf,
Nonlinearity 25 (2012), no. 5, 1525--1535

(with M. Dabkowski, L. Silvestre and V. Vicol)
Global well-posedness of slightly supercritical active scalar equations, pdf,
Analysis and PDE 7 (2014), no. 1, 43–-72

(with V. Sverak)
Small scale creation for solutions of the incompressible two dimensional Euler equation, pdf, Annals of Math, 180 (2014), 1205--1220

(with K. Choi and Y. Yao)
Finite time blow up for a 1D model of 2D Boussinesq system, pdf, Comm. Math. Phys. 334 (2015), no. 3, 1667-–1679

(with K. Choi, T. Hou, G. Luo, V. Sverak and Y. Yao)
On the finite time blow up of a 1D model for the 3D axisymmetric Euler equation,
pdf, to appear at Commun. Pure and Applied Math.

(with A. Zlatos)
Blow up for the 2D Euler equation on some bounded domains,
pdf, J. Differential Equations 259 (2015), no. 7, 3490--3494

(with Y. Yao and A. Zlatos)
Local regularity for the modified SQG patch equation,
pdf, to appear at Commun. Pure and Applied Math.

(with L. Ryzhik, Y. Yao and A. Zlatos)
Finite time singularity for the modified SQG patch equation,
pdf, Annals of Math. 184 (2016), no. 3, 909--948

Small scale creation in viscid fluids,
pdf, preprint, based on notes from Levico summer school taken by Omar Lazar, Chao Li, and Mikhail Chernobay.

(with T. Do and X. Xu)
Stability of Blow Up for a 1D model of Axisymmetric 3D Euler Equation,
pdf, preprint, to appear at J. Nonlinear Science.

(with C. Tan)
Finite time blow up in the hyperbolic Boussinesq system,
pdf, preprint.