24 citations · 24 across the 1 of their papers we have counts for
4 papers
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
Adam Larios, Yuan Pei
We propose a data assimilation algorithm for the 2D Navier-Stokes equations, based on the Azouani, Olson, and Titi (AOT) algorithm, but applied to the 2D Navier-Stokes-Voigt equati…
Continuous data assimilation for the 3D primitive equations of the ocean
Yuan Pei
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 co…
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations
Adam Larios, Yuan Pei, Leo Rebholz
The velocity-vorticity formulation of the 3D Navier-Stokes equations was recently found to give excellent numerical results for flows with strong rotation. In this work, we propose…
Nonlinear Continuous Data Assimilation
Adam Larios, Yuan Pei
We introduce three new nonlinear continuous data assimilation algorithms. These models are compared with the linear continuous data assimilation algorithm introduced by Azouani, Ol…