Thesis
Well-posedness and fluctuations of the Dean–Kawasaki equation with coloured noise on bounded domains
- Abstract:
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The Dean–Kawasaki equation was discovered independently in the physics literature by Dean25 and Kawasaki61 in the nineties, when they studied the evolution of the empirical density of a system of mean field interacting particles. The equation was understood only at a formal level until late 2010s, when Konarovskyi, Lehmann and von Renesse64, 63 established a rigorous martingale framework for the equation. In the same works, the authors prove a negative "ill-po...
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(Preview, Dissemination version, pdf, 1.1MB, Terms of use)
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Authors
Contributors
+ Fehrman, B
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Role:
- Supervisor
- ORCID:
- 0000-0002-0412-142X
+ Hambly, B
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Oxford college:
- St Anne's College
- Role:
- Supervisor
- ORCID:
- 0000-0003-0086-0695
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/S023925/1
- Programme:
- EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and Simulation
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Keywords:
- Subjects:
- Deposit date:
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2026-04-01
- ARK identifier:
Terms of use
- Copyright holder:
- Shyam Popat
- Copyright date:
- 2025
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