Research

Preprints

The L^3-based strong Onsager theorem, arXiv:2305.18509, 2023 (with Vikram Giri and Matthew Novack)
A wavelet-inspired L^3-based convex integration framework for the Euler equations, arXiv:2305.18142, 2023 (with Vikram Giri and Matthew Novack)

The role of the pressure in the regularity theory for the Navier-Stokes equations, J. Differ. Equ., 2023
On non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations, Arch Ration Mech Anal, 2022 (with Vikram Giri)
Local regularity of weak solutions of the hypodissipative Navier-Stokes equations, J. Func. Anal., 2022 (with Wojciech S. Ożański)
On non-uniqueness of Hölder continuous globally dissipative Euler flows, Anal. PDE, 2022 (with Camillo De Lellis)
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations, Comm. Math. Phys., 2021 (with Xinyu Cheng and Dong Li)
On bifurcation of self-similar solutions of the stationary Navier-Stokes equations, Commun Math Sci., 2021 (with Tai-Peng Tsai)
Strong ill-posedness of logarithmically regularized 2D Euler equations in the critical Sobolev space, J. Func. Anal., 2020
Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation, Comm. Math. Phys., 2020 (with Tai-Peng Tsai)

Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik, Ann. Math. Stud., 2024
(with D. Albritton, E. Brué, M. Colombo, C. De Lellis, V. Giri, and M. Janisch)