Publications

♠  = papers partially funded by my Simons Foundation grant MPS-TSM (2024-2029). 

♣ = papers partially funded by my AMS-Simons travel grant (2021-2023).

♠  = papers partially funded by my internal collaborative research grant (summers of 2022 & 2023). 

♦  = papers partially funded by my MSRI postdoctoral fellowship (from NSF-DMS 1928930, 2021 & 2023).

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Papers (after joining OU, 2023-present)

[26]  On the inverse problem for some fluid equations. (with Li Li), in preparation, 2024.

[25]  On the analysis for the SIR and optimal control with human behavior. (with Chloe Ngo* and Christian Parkinson), in preparation, 2024. (* indicates an undergraduate student author)

[24]  On the analysis for the SIR and related models. (with Christian Parkinson), in preparation, 2024.

[23] ♠ Asymptotic stability for the 3D Navier-Stokes equations in $L^3$ and nearby spaces. (with Zachary Bradshaw), submitted, 2024.

[22] ♣ Optimal control of a reaction-diffusion epidemic model with noncompliance. (with Marcelo Bongarti and Christian Parkinson), submitted, 2024.  

[21] ♣ A kinetic Nash inequality and precise boundary behavior of the kinetic Fokker-Planck equation. (with Christopher Henderson and Giacomo Lucertini), submitted, 2024.  

[20] ♣♦ Quantitative bounds of critically bounded solutions to the three-dimensional Navier-Stokes equations in Lorentz spaces. (with Wen Feng and Jiao He), submitted, 2024.

[19] ♣♠♦ Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise. (with Quyuan Lin and Rongchang Liu), submitted, 2024.

[18] ♣ Stability for a system of the 2D incompressible MHD equations with fractional dissipation. (with Wen Feng and Jiahong Wu), Journal of Mathematical Fluid Mechanics, 26 (2024), no. 4, paper no. 57.

[17] ♣ On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions. (with Elie Abdo), Applicable Analysis, 103 (2024), no. 16, 3017-3028.

[16] ♣♦ Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation. (with Christopher Henderson), Discrete and Continuous Dynamical Systems, 44 (2024), no. 4, 1026-1072.

[15] ♣ Global existence for the stochastic Boussinesq equations with transport noise and small rough data. (with Quyuan Lin and Rongchang Liu), SIAM Journal on Mathematical Analysis, 56 (2024), no. 1, 501-528.

[14] ♣♠ Analysis of a reaction-diffusion SIR epidemic model with noncompliant behavior. (with Christian Parkinson), SIAM Journal on Applied Mathematics, 82 (2023), no. 5, 1969-2002.

[13] ♣ On the global well-posedness and Gevrey regularity for some electrodiffusion models. (with Elie Abdo and Fizay-Noah Lee), SIAM Journal on Mathematical Analysis, 55 (2023), no. 6, 6838-6866.

[12] ♣♦ Quantitative unique continuation for Robin boundary value problems on C^{1, 1} domains. (with Zongyuan Li), Indiana University Mathematics Journal, 72 (2023), no. 4, 1429-1460.

Papers (before joining OU)

[11] ♣ Nonlinear stability for the 2D  incompressible MHD system with fractional dissipation in the horizontal direction. (with Wen Feng and Jiahong Wu), Journal of Evolution Equations, 23 (2023), no. 2, paper No. 32, 37 pp.

[10] ♣♦ Local well-posedness for the Boltzmann equation with very soft potential and polynomially decaying initial data. (with Christopher Henderson), SIAM Journal on Mathematical Analysis, 53 (2022), no. 3, 2845-2875.

[9] ♣♦ On the analyticity and Gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space. Communications in Mathematical Sciences, 20 (2022), no. 2, 479-493.

[8] ♣ Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation. (with Wen Feng and Jiahong Wu), Proceedings of the American Mathematical Society, 150 (2022), no. 12, 5321-5334.

[7] On the global stability of large solutions for the 3D Boussinesq equations with Navier boundary conditions. Archiv der Mathematik, 116 (2021), no. 4, 445-456.

[6] Norm inflation for the Boussinesq system. (with Zongyuan Li), Discrete and Continuous Dynamical Systems B, 26 (2021), no. 10, 5449-5463.

[5] Almost sure existence of global weak solutions to the Boussinesq equations. (with Haitian Yue), Dynamics of PDEs, 17 (2020), no. 2, 165-183.

[4] Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity. (with Igor Kukavica), Pure and Applied Functional Analysis, 5 (2020), no. 1, 27-45.

[3] Long time behavior of the solutions to the 2D Boussinesq equations without diffusivity. (with Igor Kukavica), Journal of Dynamics and Differential Equations, 32 (2020), no. 4, 2061-2077.

[2] Regularity problems for the Boussinesq equations. Ph.D. Thesis, 2020.

[1] On the global regularity for a 3D Boussinesq model without thermal diffusion. Zeitschrift für Angewandte Mathematik und Physik, 70 (2019), no. 6, paper 174.