2 papers
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 with . In th…
math.AP2025
Pseudomeasure distributions for nonseparable, nonlocal mean field games
David M. Ambrose, Milton C. Lopes Filho, Anna L. Mazzucato +1
For a number of important mean field games models, the Hamiltonian is non-local and not additively separable. This means that the distribution of agents appears in the Hamiltonian…