1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
Coherent Structures in Flame Fronts
Sultan Aitzhan, Benjamin F. Akers, David M. Ambrose
We study traveling waves in a coordinate-free model of flame fronts. The flame front is the interface between the burnt and unburnt phases of a gas undergoing combustion. The front…
math.AP2024
Local well-posedness of the Benjamin-Ono equation with spatially quasiperiodic data
Sultan Aitzhan, David M. Ambrose
We consider the Benjamin-Ono equation in the spatially quasiperiodic setting. We establish local well-posedness of the initial value problem with initial data in quasiperiodic Sobo…
math.AP2012★ 1 cited
Dispersion vs. anti-diffusion: well-posedness in variable coefficient and quasilinear equations of KdV-type
J. Douglas Wright, David M. Ambrose
We study the well-posedness of the initial value problem on periodic intervals for linear and quasilinear evolution equations for which the leading-order terms have three spatial d…