1 citations · 1 across the 3 of their papers we have counts for
4 papers
A porous media fracture model based on homogenization theory
J. Galvis, H. M. Versieux
A novel regularized fracture model for crack propagation in porous media is proposed. Our model is obtained through homogenization theory and formal asymptotic expansions. We start…
On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities
Luiz Gustavo Farah, Henrique Versieux
This work is devoted to prove a linear profile decomposition for the Airy equation in , where and . We also apply this decompositio…
Homogenization of a generalized Stefan Problem in the context of ergodic algebras
Hermano Frid, Jean Silva, Henrique Versieux
We address the deterministic homogenization, in the general context of ergodic algebras, of a doubly nonlinear problem which generalizes the well known Stefan model, and includes t…
An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint
Juan Galvis, H. M. Versieux
In this paper we design an iterative domain decomposition method for free boundary problems with nonlinear flux jump condition. Our approach is related to damped Newton's methods.…