70 citations · 323 across the 27 of their papers we have counts for
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math.AP2021★ 6 cited
Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three
Adam Larios, Mohammad Mahabubur Rahman, Kazuo Yamazaki
We propose and prove several regularity criteria for the 2D and 3D Kuramoto-Sivashinsky equation, in both its scalar and vector forms. In particular, we examine integrability crite…
math.AP2021★ 18 cited
The Bleeps, the Sweeps, and the Creeps: Convergence Rates for Dynamic Observer Patterns via Data Assimilation for the 2D Navier-Stokes Equations
Trenton Franz, Adam Larios, Collin Victor
We adapt a continuous data assimilation scheme, known as the Azouani-Olson-Titi (AOT) algorithm, to the case of moving observers for the 2D incompressible Navier-Stokes equations.…