Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 尤 波 副教授, 西安交通大学
| | Inviter: | | Title:
| Data assimilation algorithms for the three dimensional planetary geostrophic equations of large-scale ocean circulation | Time & Venue:
| 2021.04.27 10:00-11:00 南楼N226室 | Abstract:
| Based on the fact that dissipative dynamical systems possess finite degrees of free- dom, some kinds of data assimilation algorithms for the three dimensional planetary geostrophic model are introduced. In this talk, we will provide some suitable conditions on the parameters, such as the nudging parameter, the size of the spatial coarse mesh observables, the number of the Fourier modes and so on, which are sufficient to show that the solution of the proposed algorithm converges at an exponential rate, asymptotically in time, to the unique exact unknown reference solution of the original system. Thus, we can make the future predictions of the exact solution by the approximation solution of the data assimilation algorithms if the initial data is unknown, which is usually used in the fields of geophysical and biological sciences, such as atmospheric and oceanic forecasting, oil reservoir simulation and neuroscience.
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