Peter H.C. Pang

Address:

Department of Mathematics

University of Oslo

Postboks 1053

NO-0316 Olso

Norway

Email:

ptr@math.uio.no

I am currently a postdoctoral researcher at the University of Oslo. My position is funded by the Research Council of Norway project INICE (301538). The project manager is Professor Ulrik Skre Fjordholm.

I was previously a postdoctoral fellow at NTNU in Trondheim.

Research interests: stochastic partial differential equations, probability theory, optimal matching, dynamical systems.

Institutional webpage:

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

Preprints and papers:

1. 1. 1. 1. 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. 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. U.S. Fjordholm, K.H. Karlsen, and P.H.C. Pang. Convergent finite difference schemes for stochastic transport equations. arXiv:2309.02208v2[math.NA], (2023), 1 -- 42. Submitted.

1. 1. 1. 1. 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.

1. 1. 1. 1. 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.

1. 1. 1. 1. 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.

1. 1. 1. 1. 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.

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

1. 1. 1. 1. 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.

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

Notes:

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