2023 – Now   Research Assistant Professor, Department of Mathematics, Pohang University of Science and Technology (POSTECH), Pohang

Mentors: Prof. Donghyun Lee and Prof. Jin Woo Jang

2021 – 2023  Postdoc, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA), Tsinghua University, Beijing

Mentor: Prof. Shing-Tung Yau

2017 – 2021  Ph.D., Department of Mathematics, City University of Hong Kong, HongKong

Supervisor: Prof. Tong Yang

2013 – 2017  BS, Department of Mathematics, Sun Yat-sen University, Guangzhou

Thesis Advisor: Prof. Lixin Yan

Research Interests

My current research interests are partial differential equations, nonlinear analysis, kinetic theory, and fluid dynamics, especially the Boltzmann equation and the general relativistic (quantum) Boltzmann equation. The research topics include boundary theory, wave patterns, spectral analysis, existence and regularity, fluid dynamic limit, pseudo-differential calculus, semigroup theory, rate of convergence, etc. 

Publications

12. Dingqun Deng. The Landau and non-cutoff Boltzmann equations in union of cubes. J. Differ. Equations, vol. 392, pp. 266–305, May 2024. ISSN 0022-0396. doi:10.1016/j.jde.2024.02.024. arXiv:2106.00383v2

11. Chuqi Cao, Dingqun Deng, and Xingyu Li. The Vlasov–Poisson–Boltzmann/Landau System with Polynomial Perturbation Near Maxwellian. SIAM J. Math. Anal., vol. 56, no. 1, pp. 820–876, Jan 2024. ISSN 1095-7154. doi:10.1137/23m1567060. arXiv:2111.05569

10. Dingqun Deng. Global Regularity of the Vlasov-Poisson-Boltzmann System Near Maxwellian Without Angular Cutoff for Soft Potential. Commun. Math. Anal. Appl., vol. 2, no. 4, pp. 421–468, Jun 2023. ISSN 2790-1939. doi:10.4208/cmaa.2023-0008. arXiv:2112.08059

9. Dingqun Deng and Renjun Duan. Low Regularity Solutions for the Vlasov-Poisson-Landau/Boltzmann System. Nonlinearity, Vol. 36, pp. 2193-2248, Mar 2023. doi:10.1088/1361-6544/acc3f0, arXiv:2110.15006

8. Dingqun Deng. Stability of Rarefaction Waves for the Non-cutoff Vlasov–Poisson–Boltzmann System with Physical Boundary. Nonlinear Anal. Real World Appl., Vol. 71, No. 103806, pp. 1-53, Jun 2023. doi: 10.1016/j.nonrwa.2022.103806, arXiv:2212.05470

7. Dingqun Deng and Renjun Duan. Spectral Gap Formation to Kinetic Equations with Soft Potentials in Bounded Domain. Comm. Math. Phys., Vol. 397, pp. 1441-1489, Feb 2023. doi:10.1007/s00220-022-04519-2, arXiv:2105.00901

6. Dingqun Deng. Smoothing estimates of the Vlasov-Poisson-Landau system. J. Differential Equations, Vol. 301, pp. 112-168, Nov 2021. doi:10.1016/j.jde.2021.08.022, arXiv:2103.04114

5. Dingqun Deng. Regularity of the Vlasov–Poisson–Boltzmann System Without Angular Cutoff. Comm. Math. Phys., Vol. 387, No. 3, pp. 1603-1654, Sep 2021. doi:10.1007/s00220-021-04209-5, arXiv:2012.10845

4. Dingqun Deng. Regularity of Non-cutoff Boltzmann Equation with Hard Potential. SIAM J. Math. Anal., Vol. 53, No. 4, pp. 4513-4536, Jan 2021. doi:10.1137/20m1386086, arXiv:2009.13073

3. Dingqun Deng. Global Existence of Non-Cutoff Boltzmann Equation in Weighted Sobolev Space. J. Stat. Phys., Vol. 188, No. 25, pp. 1-51, Jul 2022. doi:10.1007/s10955-022-02956-w, arXiv:2004.07794

2. Dingqun Deng. Dissipation and Semigroup on H^k_n : Non-cutoff Linearized Boltzmann Operator with Soft Potential. SIAM J. Math. Anal., Vol. 52, No. 3, pp. 3093-3113, Jan 2020. doi:10.1137/19m1263017, arXiv:1905.07993

1. Dingqun Deng. On the Cauchy problem of Boltzmann equation with a very soft potential. J. Evol. Equ., Vol. 22, No. 17, pp. 1-58, Mar 2022. doi:10.1007/s00028-022-00767-w, arXiv:1811.05133 

Preprints