Continuous data assimilation for the 3D primitive equations of the ocean
Analysis of PDEs
2018-05-17 v1
Abstract
In this article, we show that the continuous data assimilation algorithm is valid for the 3D primitive equations of the ocean. Namely, the norm of the assimilated solution converge to that of the reference solution at an exponential rate in time. We also prove the global existence of strong solution to the assimilated system.
Cite
@article{arxiv.1805.06007,
title = {Continuous data assimilation for the 3D primitive equations of the ocean},
author = {Yuan Pei},
journal= {arXiv preprint arXiv:1805.06007},
year = {2018}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:1608.04770 by other authors