2 citations · 2 across the 5 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.AP2023
Well-posedness for a molecular beam epitaxy model
Louis Emerald, Daniel Oliveira da Silva, Achenef Tesfahun
We study a general molecular beam epitaxy (MBE) equation modeling the epitaxial growth of thin films. We show that, in the deterministic case, the associated Cauchy problem admits…
math.AP2023
Rigorous derivation of weakly dispersive shallow water models with large amplitude topography variations
Louis Emerald, Martin Oen Paulsen
We derive rigorously from the water waves equations new irrotational shallow water models for the propagation of surface waves in the case of uneven topography in horizontal dimens…
math.AP2023
Long time well-posedness and full justification of a Whitham-Green-Naghdi system
Louis Emerald, Martin Oen Paulsen
We establish the full justification of a "Whitham-Green-Naghdi" system modeling the propagation of surface gravity waves with bathymetry in the shallow water regime. It is an asymp…