4 citations · 6 across the 9 of their papers we have counts for
9 papers
Stochastic homogenization of Hamilton-Jacobi equations on a junction
Nicolas Forcadel, Fayad Rim, Ibrahim Hassan
We consider the specified stochastic homogenization of first order evolutive Hamilton-Jacobi equations on a very simple junction, i.e the real line with a junction at the origin. F…
Cycle Chacterization of the Aubry Set for Weakly Coupled Hamilton-Jacobi Systems
Hassan Ibrahim, Antonio Siconolfi, Sahar Zabad
We study a class of weakly coupled systems of Hamilton-acobi equations using the random frame introduced in a previous paper of Mitake-Siconolfi-Tran-Yamada. We provide a cycle con…
The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model
Ahmad Fino, Hassan Ibrahim, Régis Monneau
We study a generalization of the fully overdamped Frenkel-Kontorova model in dimension This model describes the evolution of the position of each atom in a crystal, and…
A remark on a generalization of a logarithmic Sobolev inequality to the Holder class
Hassan Ibrahim
In a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established. This inequality is originated from the Brezis-Gallouet-Wainger log…
A critical parabolic Sobolev embedding via Littlewood-Paley decomposition
Hassan Ibrahim
In this paper, we show a parabolic version of the Ogawa type inequality in Sobolev spaces. Our inequality provides an estimate of the norm of a function in terms of it…
On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations
H. Ibrahim, R. Monneau
In this paper, we study the rate of convergence in periodic homogenization of scalar ordinary differential equations. We provide a quantitative error estimate between the solutions…