David M. Ambrose

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20182026

most citedThe radius of analyticity for solutions to a problem in epitaxial growth on the torus

9 citations · 9 across the 5 of their papers we have counts for

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math.AP2026

Nonlinear Instability in the 2D Kuramoto-Sivashinsky equation

David M. Ambrose, Anna L. Mazzucato, Riccardo Montalto

In this paper we analyze the Kuramoto-Sivashinsky equation (KSE), a model of flame-front propagation, on a two-dimensional square torus of arbitrary size $2 L$ with $L > π$ . In thi…