Date of Award

Summer 2021

Document Type

Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics and Statistics

First Advisor

Vincent Martinez

Second Advisor

Elizabeth Carlson

Academic Program Adviser

Vincent Martinez

Abstract

Recent numerical work of Carlson-Hudson-Larios leverages a nudging-based algorithm for data assimilation to asymptotically recover viscosity in the 2D Navier-Stokes equations as partial observations on the velocity are received continuously-in-time. This "on-the-fly" algorithm is studied both analytically and numerically for the Lorenz equations in this thesis.

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