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- Stability of vortex quadrupoles with odd-odd symmetry, with K. Choi and I. Jeong, preprint.
- Small scale creation for 2D free boundary Euler equations with surface tension, with Z. Hu and C. Luo, Ann. PDE, 10, 13, 2024.
- On well-posedness of α-SQG equations in the half-plane, with I. Jeong and J. Kim, to appear in Trans. AMS.
- Suppression of chemotactic singularity by buoyancy, with Z. Hu and A. Kiselev, preprint.
- Small scale formation for the 2D Boussinesq equation, with A. Kiselev and J. Park, to appear in Anal. PDE.
- Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel, with J. Carrillo, D. Gómez-Castro and C. Zeng, Arch. Ration. Mech. Anal., 247, 11, 2023.
- Two-species competition model with chemotaxis: well-posedness, stability and dynamics, with G. Li, Nonlinearity, 35(3) 1329, 2022.
- Small scale formations in the incompressible porous media equation, with A. Kiselev, Arch. Ration. Mech. Anal., 247, 1, 2023.
- Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results, with J. Gómez-Serrano, J. Park and J. Shi, Comm. Math. Phys., 386, 1845-1879, 2021.
- Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results, with J. Gómez-Serrano, J. Park and J. Shi, Phil. Trans. R. Soc. A., 380, no. 2226, 20210045, 2022.
- Sharp stability for the interaction energy, with X. Yan, Arch. Ration. Mech. Anal, 246, 603-629, 2022.
- Chemotaxis and reactions in biology, with A. Kiselev, F. Nazarov and L. Ryzhik, to appear in J. Eur. Math. Soc.
- Symmetry of hypersurfaces with ordered mean curvature in one direction, with Y.Y. Li and X. Yan, Calc. Var. PDE, 60, 173, 2021.
- Uniqueness and non-uniqueness of steady states of aggregation-diffusion equations, with M. Delgadino and X. Yan, Comm. Pure Appl. Math., 75, 3-59, 2022.
- Symmetry in stationary and uniformly-rotating solutions of active scalar equations, with J. Gómez-Serrano, J. Park and J. Shi, Duke Math Journal, 170, 2957-3038, 2021.
- Aggregation-diffusion equations: dynamics, asymptotics, and singular limits, with J. Carrillo and K. Craig, Active Particles, Volume 2, 65-108, 2019.
- Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics, with J. Carrillo, S. Hittmeir and B. Volzone, Invent. Math., 218 (3), 889-977, 2019.
- Congested aggregation via Newtonian interaction, with K. Craig and I. Kim, Arch. Ration. Mech. Anal., 227(1): 1-67, 2018.
- Finite time singularity formation for the modified SQG patch equation, with A. Kiselev, L. Ryzhik and A. Zlatoš, Ann. of Math., 184(3): 909-948, 2016.
- Local regularity for the modified SQG patch equation, with A. Kiselev and A. Zlatoš, Comm. Pure Appl. Math., 70(7): 1253-1315, 2017.
- On the finite-time blowup of a 1D model for the 3D axisymmetric Euler equations, with K. Choi, T. Hou, A. Kiselev, G. Luo and V. Sverak, Comm. Pure Appl. Math., 70(11): 2218-2243, 2017.
- Mixing and un-mixing by incompressible flows, with A. Zlatoš, J. Eur. Math. Soc., 19(7): 1911–1948, 2017.
- Global regularity of chemotaxis equations with advection, with S. Khan, J. Johnson, and E. Cartee, Involve 9(1): 119-131, 2016.
- Finite time blow up for a 1D model of 2D Boussinesq system, with K. Choi and A. Kiselev, Commun. Math. Phys.,334: 1667-1679, 2015.
- Stability and dynamics of magnetocapillary interactions, with R. Chinomona, J. Lajeunesse, W.H. Mitchell, and S.E. Spagnolie, Soft Matter, 11 (9), 1828-1838, 2015.
- Quasi-static evolution and congested crowd transport, with D. Alexander and I. Kim, Nonlinearity, 27: 1-36, 2014.
- Confinement for repulsive-attractive kernels, with D. Balagué and J. A. Carrillo, Discret. Contin. Dyn. S. Ser. B, 19: 1227-1248, 2014.
- Asymptotic behavior for critical Patlak-Keller-Segel model and an repulsive-attractive aggregation equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, 31(1): 81-101, 2014.
- Blow-up dynamics for the aggregation equation with degenerate diffusion, with A. L. Bertozzi, Physica D, special issue on Emergent behaviour in multi-particle systems with non-local interactions, 260: 77-89, 2013.
- An aggregation equation with degenerate diffusion: qualitative property of solutions, with L. Chayes and I. Kim, SIAM J. Math. Anal, 45(5):2597-3049, 2013.
- The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle, with I. Kim, SIAM J. Math. Anal., 44(2):568-602, 2012.
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