100 citations · 421 across the 30 of their papers we have counts for
12 papers · 1 filter
Bubble dynamics in a Hele-Shaw channel and velocity selection without surface tension
Giovani L. Vasconcelos, Luan P. Cordeiro, Arthur A. Brum +1
Inviscid bubble dynamics in a viscous fluid, moving with velocity far from the bubble, is considered. The Cauchy problem of recovering the bubble evolution from its initial sha…
Vortex motion around a circular cylinder above a plane
G. L. Vasconcelos, M. Moura
The study of vortex flows around solid obstacles is of considerable interest from both a theoretical and practical perspective. One geometry that has attracted renewed attention re…
Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension
Mark Mineev-Weinstein, Giovani L. Vasconcelos
A new selection phenomenon in nonlinear interface dynamics is predicted. A generic class of exact regular unsteady multi-bubble solutions in a Hele-Shaw cell is presented. These so…
Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions
Giovani L. Vasconcelos
Analytical solutions for both a finite assembly and a periodic array of bubbles steadily moving in a Hele-Shaw channel are presented. The particular case of multiple fingers penetr…
Exact solutions for a periodic assembly of bubbles in a Hele-Shaw channel
Giovani L. Vasconcelos, Christopher C. Green
Exact solutions are reported for a periodic assembly of bubbles steadily co-travelling in a Hele-Shaw channel. The solutions are obtained as conformal mappings from a multiply conn…
Multiple steadily translating bubbles in a Hele-Shaw channel
Christopher C. Green, Giovani L. Vasconcelos
Analytical solutions are constructed for an assembly of any finite number of bubbles in steady motion in a Hele-Shaw channel. The solutions are given in the form of a conformal map…