9 citations · 9 across the 5 of their papers we have counts for
5 papers
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 thi…
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…
Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier-Stokes equations on the torus
David M. Ambrose, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
We consider the three-dimensional Navier-Stokes equations, with initial data having second derivatives in the space of pseudomeasures. Solutions of this system with such data have…
The velocity field and Birkhoff-Rott integral for non-decaying, non-periodic vortex sheets
David M. Ambrose
The Birkhoff-Rott integral expresses the fluid velocity on a vortex sheet. This integral converges if certain quantities decay at horizontal infinity, but can also be summed over p…
The radius of analyticity for solutions to a problem in epitaxial growth on the torus
David M. Ambrose
A certain model for epitaxial film growth has recently attracted attention, with the existence of small global solutions having being proved in both the case of the n-dimensional t…