Publications

Preprint

[15] Continuous data assimilation for hydrodynamics: consistent discretization and application to moment recovery, submitted, 2024.
with Jingcheng Lu, Li Wang and Jeff Calder.
arXiv:2409.03872.

[14] From the Boltzmann equation for gas mixture to the two-fluid incompressible hydrodynamic system, submitted, 2024.
with Zhendong Fang.
arXiv:2408.03570.

[13] The small Deborah number limit for the fluid-particle flows II: compressible case, submitted, 2024.
with Zhendong Fang and Huanyao Wen.

[12] Global existence and moment creation for the inelastic Boltzmann equation for hard potentials without angular cutoff, submitted, 2023.
with Jin Woo Jang.
arXiv:2206.09636v2.

Published/Accepted

[11] Radiative transport in a periodic structure with band crossings, accepted by SIAM J. Appl. Math., 2024.
with Li Wang and Alexander B. Watson.
arXiv:2402.06828.

[10] On the kinetic description of the objective molecular dynamics, accepted by SIAM Multiscale Model. Simul., 2024.
with Richard D. James and Li Wang.
arXiv:2307.16814.

[9] The small Deborah number limit for the fluid-particle flows I: incompressible case,
Math. Models Methods Appl. Sci.(M3AS), 12(34), 2024.
with Zhendong Fang and Huanyao Wen.
DOI: 10.1142/S0218202524500489.

[8] Spectral convergence of a semi-discretized numerical system for the spatially homogeneous Boltzmann equation with uncertainties, SIAM/ASA J. Uncertain. Quantif., 12(3), 812–841, 2024.
with Liu Liu.
DOI:10.1137/24M1638483.

[7] Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties, Commun. Math. Sci., 22(7), 1897-1925, 2024.
with Liu Liu.
DOI:10.4310/CMS.240918035418.

[6] Measure valued solution to the spatially homogeneous Boltzmann equation with inelastic long-range interactions, J. Math. Phys., 63(2), 021503, 2022.
DOI:10.1063/5.0062859.

[5] A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation, SIAM J. Numer. Anal., 59(2), 613–633, 2021.
with Jingwei Hu and Tong Yang.
DOI:10.1137/20M1351813.

[4] On the measure valued solution to the inelastic Boltzmann equation with soft potentials, J. Stat. Phys., 183(2), 27, 2021.
DOI:10.1007/s10955-021-02762-w.

[3] A fast Fourier spectral method for the homogeneous Boltzmann equation with non-cutoff collision kernels, J. Comput. Phys., 423:109806, 2020.
with Jingwei Hu.
DOI:10.1016/j.jcp.2020.109806.

Conference Proceedings

[2] Measure-valued solution to the inelastic Boltzmann equation for hard potentials without angular cutoff, Proceedings of the 32nd International Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 2996, 040008, 2024.
with Jin Woo Jang.
DOI:10.1063/5.0187383.

Thesis

[1] Research on the kinetic type equations with relevant numerical methods, 2021.
which has been awarded “2020-2021 HKMS Best Thesis Award“ by The Hong Kong Mathematical Society.