Peter H.C. Pang

Address:

School of Mathematical Sciences

University of Nottingham Ningbo China

199 Taikang East Road

Ningbo 315100

China

Email:

peter.pang@nottingham.edu.cn

I am assistant professor of applied mathematics at the University of Nottingham in Ningbo. 

Research interests: stochastic partial differential equations, rough analysis, probability theory, dynamical systems. 

Institutional webpage:

https://www.mn.uio.no/math/english/people/aca/ptr/index.html

Preprints and papers:

1. 1. 1. 1. 1. F. Harang, C. Ling, and P.H.C. Pang. Weak existence for degenerate distribution dependent SDEs with multiplicative noise -- a pathwise regularization approach. arXiv:2509.03665 [math.PR] (2025), 1 -- 18. Submitted.

1. 1. 1. 1. 2. U.S. Fjordholm, K.H. Karlsen, and P.H.C. Pang.  Semi-discrete heat equations with variable coefficients and the parametrix method. arXiv:2506.18649 [math.NA] (2025), 1--31. Submitted.

1. 1. 1. 1. 3. P.H.C. Pang. Convergence rate in the splitting-up method for rough differential equations. arXiv:2412.00432 [math.CA] (2024), 1--12. Submitted.

1. 1. 1. 1. 4. D. Alonso-Orán, P.H.C. Pang, H. Tang. Damping-diffusion-noise interactions in the stochastic Camassa--Holm equation. arXiv:2410.07649 [math.AP] (2024), 1 -- 29. Submitted.

1. 1. 1. 1. 5. K.H. Karlsen and P.H.C. Pang. Convergence of stochastic integrals with applications to transport equations and conservation laws with noise. arXiv:2404.16157 [math.PR], (2024), 1--31. Submitted.

1. 1. 1. 1. 6. P.H.C. Pang. The viscous variational wave equation with transport noise. arXiv:2402.19386 [math.AP], (2024), 1--40. Submitted.

1. 1. 1. 1. 7. U.S. Fjordholm, K.H. Karlsen, and P.H.C. Pang. Convergent finite difference schemes for stochastic transport equations. SIAM J. Numer. Anal., 63(1) (2025), 149-192. arXiv link

1. 1. 1. 1. 8. P.H.C. Pang. Second order commutator estimates in renormalisation theory for SPDEs with gradient-type noise. Proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022), SIMAI Springer Series, (2024), 331--340. arXiv link

1. 1. 1. 1. 9. L. Galimberti, H. Holden, K.H. Karlsen, and P.H.C. Pang. Global existence of dissipative solutions to the Camassa--Holm equation with transport noise. J. Differential Equations, 387 (2024), 1 -- 103. arXiv link

1. 1. 1. 1. 10. H. Holden, K.H. Karlsen, and P.H.C. Pang. Global well-posednes of the viscous stochastic Camassa--Holm equation with gradient noise. Discrete Contin. Dyn. Syst., 43(2) (2023), 568 -- 618. arXiv link

1. 1. 1. 1. 11. H. Holden, K.H. Karlsen, and P.H.C. Pang. Strong solutions of a stochsatic differential equation with irregular random drift. Stochastic Process. Appl., 150 (2022), 655 -- 677. arXiv link

1. 1. 1. 1. 12. H. Holden, K.H. Karlsen, and P.H.C. Pang. The Hunter--Saxton equation with noise. J. Differential Equations, 270 (2021), 725 -- 786. arXiv link

1. 1. 1. 1. 13. G.-Q. G. Chen, and P.H.C. Pang. Invariant measures for nonlinear conservation laws driven by stochastic forcing. Chinese Ann. Math. B, 40(6) (2019), 967 -- 1004. arXiv link

1. 1. 1. 1. 14. G.-Q. G. Chen, and P.H.C. Pang. Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing. J. Funct. Anal., 281 (2021), 109222. arXiv link

Notes:

• The stochastic compactness method in SPDEs, mini-course delivered at the Mittag-Leffler institute, 20th--24th November, 2023. (updated: 25th April, 2024.)

Coding things:  https://github.com/ptrhcpang