Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
Dynamical Systems
2021-08-10 v1 Analysis of PDEs
Computational Physics
Fluid Dynamics
Abstract
We analyze continuous data assimilation by nudging for the 3D Ladyzhenskaya equations. The analysis provides conditions on the spatial resolution of the observed data that guarantee synchronization to the reference solution associated with the observed, spatially coarse data. This synchronization holds even though it is not known whether the reference solution, with initial data in , is unique; a particular reference solution is determined by the observed, coarse data. The efficacy of the algorithm in both 2D and 3D is demonstrated by numerical computations.
Cite
@article{arxiv.2108.03513,
title = {Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations},
author = {Yu Cao and Andrea Giorgini and Michael Jolly and Ali Pakzad},
journal= {arXiv preprint arXiv:2108.03513},
year = {2021}
}
Comments
33 pages, 8 figures