Publications
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
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