Dingqun Deng

Associate Professor

Mathematical Science Course

Department of Mathematical Science and Electrical-Electronic-Computer Engineering

Faculty of Engineering Science

Akita University, Akita, Japan

Welcome to my homepage. I am Dingqun Deng, currently an Associate Professor in the Mathematical Science Course at Akita University

Here are my ORCiD and Google Scholar profiles.

ORCiD: 0000-0001-9678-314X

2025 - Now Associate Professor, Mathematical Science Course, Akita University

2023 – 2025 Research Assistant Professor, Department of Mathematics, Pohang University of Science and Technology (POSTECH), Pohang

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

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 interest is the analysis of partial differential equations related to kinetic theory, especially the Boltzmann equation and related models such as Landau equation, relativistic or quantum kinetic equation, including nonlinear analysis and fluid dynamics. The research topics include boundary theory, existence and regularity, wave patterns, spectral analysis, 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

1. Dingqun Deng and Lingda Xu. Nonlinear Stability of Planar Shock Waves for the 3-D Boltzmann Equation. Preprint Feb 2024. arXiv:2402.04871

2. Dingqun Deng. The Non-cutoff Boltzmann Equation in General Domains. Preprint, Aug 2023. arXiv:2308.00494

3. Dingqun Deng. The Non-cutoff Vlasov-Poisson-Boltzmann and Vlasov-Poisson-Landau systems in Union of cubes. Preprint, Dec 2021. arXiv:2112.02315

Many thanks

Here, I would like to share my special thanks to Prof. Jae-Hun Jung (정재훈), Prof. Donghyun Lee (이동현), Prof. Jin Woo Jang (장진우).

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