13 citations · 45 across the 17 of their papers we have counts for
7 papers · 1 filter
Regimes of the lateral van der Waals force in the presence of dielectrics
Lucas Queiroz, Edson C. M. Nogueira, Danilo T. Alves
In a recent paper, it was shown that, under the action of the lateral van der Waals (vdW) force due to a perfectly conducting corrugated surface, a neutral anisotropic polarizable…
Analytic Nilpotent Centers on Center Manifolds
Claudio Pessoa, Lucas Queiroz
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…
Introducing corrugated surfaces in electromagnetism problems via perturbative approach
Alexandre P. da Costa, Lucas Queiroz, Edson C. M. Nogueira +1
Problems involving boundary conditions on corrugated surfaces are relevant to understand nature, since, at some scale, surfaces manifest corrugations that have to be taken into acc…
Nilpotent Centers in
Lucas Queiroz, Claudio Pessoa
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is for some . The res…
Sign inversion in the lateral van der Waals force
Edson C. M. Nogueira, Lucas Queiroz, Danilo T. Alves
We consider a single slight protuberance in a perfectly conducting plane, and investigate the van der Waals (vdW) interaction between this surface and a neutral polarizable particl…
Monodromic nilpotent singular points with odd Andreev number and the center problem
Claudio Pessoa, Lucas Queiroz
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number . The parity of determines whether the existence of an inverse…
Peak, valley and intermediate regimes in the lateral van der Waals force
Edson C. M. Nogueira, Lucas Queiroz, Danilo T. Alves
We study the van der Waals (vdW) interaction between a polarizable particle and a grounded conducting corrugated surface. For sinusoidal corrugations, one knows that, under the act…