News

Joining August 2024, Daniel Goodair

Currently 4th year PhD student at Imperial College London, check out Daniel’s google scholar page.

Preprints:

On the 3D Navier-Stokes Equations with Stochastic Lie Transport
D Goodair, D Crisan
Stochastic Transport in Upper Ocean Dynamics II: STUOD 2022 Workshop, London …
  2023
Stochastic calculus in infinite dimensions and spdes
D Goodair
arXiv preprint arXiv:2203.17206
  2022
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations
D Goodair, D Crisan, O Lang
Stochastics and Partial Differential Equations: Analysis and Computations, 1-64
  2023
The zero viscosity limit of stochastic navier-stokes flows
D Goodair, D Crisan
arXiv preprint arXiv:2305.18836
  2023
Existence and Uniqueness of Maximal Solutions to a 3D Navier-Stokes Equation with Stochastic Lie Transport
D Goodair
Stochastic Transport in Upper Ocean Dynamics Annual Workshop, 87-107
  2023
Navier-stokes equations with navier boundary conditions and stochastic lie transport: Well-posedness and inviscid limit
D Goodair
arXiv preprint arXiv:2308.04290
  2023
Weak and Strong Solutions to Nonlinear SPDEs with Unbounded Noise
D Goodair
arXiv preprint arXiv:2401.10076
  2024
 

 

Joining December 1st, 2023: Dr Florian Huber

Completed his PhD in 2021 at the University of Vienna with Ansgar Juegel, (https://www.tuwien.at/mg/asc/juengel/), Florian has secured a postdoctoral position with Christa Cuchiero (https://quarimafi.univie.ac.at/about-us/christa-cuchiero/). He will be joining us on December 1, 2023.

Publications and Preprints:

G. Dhariwal, F. Huber, A. Neamtu. On the Equivalence of Pathwise Mild and Weak Solutions For Quasilinear SPDEs. Stochastic Analysis and Applications. 2020.

 G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn, A. Neamtu Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Annales de l’Institut Henri Poincare (B) Probability and Statistics. Vol. 57, No. 1, 577–602 (2021)

G. Dhariwal, F. Huber, A. Jüngel. Global martingale solutions for the stochastic Shigesade-Kawasaki-Teramoto population model. submitted for publication. 2021.

Xianfeng Ren has joined the group. Welcome!

 Currently PhD student at Imperial College London, his thesis advisor is  Xue-Mei Li

, Xianfeng will be a visiting student.

  • Publication: Local Well-Posedness for the Derivative Nonlinear Schrodinger Equations with L2 Subcritical Data, Discrete and Continuous Dynamical Systems, 2021, 41(9), Doi 10.3934/dcds.2021034
  • Pre-U Higher Math: Calculus, Peking University Press, 
  • Pre-U Standard Math: Functions and Algebra, Peking University Press

 Dr  Toyomu Matsuda has joined the group. Welcome!

Currently PhD student at Free University, with Nikolas Perkowski, his publications are:

Kexing (Jason)  Ying has joined the group. Welcome!

Jason is currently Part III student at Cambridge University, has previously graduated from Imperial College London (Ken Allen Prize, Dean’s list) after completing high school at Porsgrunn videregående skole. During his undergraduate studies, Jason participated in the Lean project and formalized Martingale Convergence Theorem. His work was mentioned in Kevin’s plenary ICM lecture about Lean. His work resulted in one publication.

A Formalization of Doob’s Martingale Convergence Theorems in mathlib, In Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs.

He also contributed to the Group Theory game Project.

Dr Fabien Germ has Joined the Group. Welcome!

Fabian studied at  Edinburgh with István Gyöngy, after studying at the University of Waterloo and TU Vienna. His research publications can be found here.

Benedikt Petico has joined us. Welcome!

Currently a PhD student in  Imperial College London. Ben works on interesting problems. Look him up on his webpage!