24 citations · 48 across the 6 of their papers we have counts for
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math.AP2018
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…
math.AP2018
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…
math.AP2018
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…