Publications

Preprint

[11] Spectral convergence of a semi-discretized numerical system for the Boltzmann equation with uncertainties, submitted, 2024.
with Liu Liu.
arXiv:2402.07060.

[10] Radiative transport in a periodic structure with band crossings, submitted, 2024.
with Li Wang and Alexander B. Watson.
arXiv:2402.06828.

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

[8] The small Deborah number limit for the fluid-particle flows I: incompressible case, submitted, 2023.
with Zhendong Fang and Huanyao Wen.

[7] On the kinetic description of the objective molecular dynamics, submitted, 2023.
with Richard D. James and Li Wang.
arXiv:2307.16814.

[6] 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

[5] Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties, accepted by Commun. Math. Sci., 2024.
with Liu Liu.
arXiv:2212.04083.

[4] 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.

[3] 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.

[2] 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.

[1] 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

[1] 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.