Surface quasi-geostrophic equations forced by random noise: prescribed energy and non-unique Markov selections
Abstract
Abstract We consider the momentum formulation of the two-dimensional surface quasi-geostrophic equations forced by random noise, of both additive and linear multiplicative types. For any prescribed deterministic function under some conditions, we construct solutions to each system whose energy is the fixed function. Consequently, we prove non-uniqueness of almost sure Markov selections of a suitable class of weak solutions associated to the momentum surface quasi-geostrophic equations in both cases of noise.
Fields of Study & Subjects
Marine and environmental studies
Aquatic and Environmental Studies
Geology and Paleoclimatology Research
Publication details
- Journal / source
- Nonlinearity
- Publisher
- IOP Publishing
- Volume
- 39
- Issue
- 7
- Pages
- 075007–075007
- Publication date
- 3 July 2026
- Language
- EN