Login

Positions

Lebanese University

Hadath

Université Paris Dauphine

Paris

Teaching
**6 Taught Courses**

(2014-2015) MEDP 511 - Hamilton-Jacobi equations and viscosity solutions

M2 Partial Differential Equations and Numerical Analysis

(2014-2015) Math 106 - Functions of Several Variables & Vector FunctionsBS Mathematics

(2014-2015) Math 407 - Partial differential equationsM1 Mathematics

(2014-2015) Math 277 - Mathematics for informaticsBS Computer Sciences

(2014-2015) Math 209 - Metric Topology II and complex analysisBS Mathematics

(2014-2015) Math 306 - Integration IIBS Mathematics

Education

2005 - 2008: Doctorat
2004 - 2005: DEA
1999 - 2003: Masters

Ecoles des Ponts - ParisTech

Mathematics and Informatics

Lebanese University

PDEs and nonlinear analysis

Lebanese University

Mathematics

Conferences
**6 participations**

Mathematical models for dislocations, La Sapienza, Roma
PDE Methods in Finance 2007, Marne La Vallee
Nonlinear Evolution Equations and Dynamical Systems, Barcelona, Spain
JISD2007, UPC, Spain
Random modeling and uncertainty management, CEMRACS, France
Geometrical approach to free boundary problems, Cortona, Italy

Conference

2007-12-13 to 2007-12-14

Conference

2007-10-15 to 2007-10-16

Conference

2007-06-16 to 2007-06-17

Conference

2007-06-11 to 2007-06-15

Summer School

2006-07-24 to 2006-09-01

Summer School

2006-07-03 to 2006-07-21

ResearchInterests

Publications
**16 publications**

H. Ibrahim, R. Monneau Reduced ODE dynamics as formal relativistic asymptotics of a PeierlsNabarro model European Journal of Applied Mathematics 2014
H. Ibrahim, S. Zabad Existence of viscosity solution for a singular Hamilton-Jacobi equation Arab J Math Sci 2014
B. Barakeh, A. Z. Fino, H. Ibrahim Decay of mass for fractional evolution equation with memory term Quart. Appl. Math. 2013
A. Z. Fino, H. Ibrahim Analytical solution for a generalized space-time fractional telegraph equation Math. Methods Appl. Sci. 2013
A. Z. Fino, H. Ibrahim, R. Monneau The Peierls-Nabarro model as a limit of a Frenkel- Kontorova model Journal of Differential Equations 2012
H. Ibrahim A generalisation of a logarithmic Sobolev inequality to the Holder class Journal of Function Spaces and Applications 2012
H. Ibrahim Critical parabolic Sobolev embeddings via Littlewood-Paley decomposition International Mathematical Forum 2012
H. Ibrahim, M. Jazar, R. Monneau Dynamics of dislocation densities in a bounded channel. Part I: smooth solutions to a singular coupled parabolic system Commun. Pure Appl. Anal. 2010
H. Ibrahim, R. Monneau On the rate of convergence in homogenization of scalar SIAM J. Math. Anal. 2010
H. Ibrahim Existence and uniqueness for a nonlinear parabolic/Hamilton-Jacobi coupled system describing the dynamics of dislocation densities Ann. I. H. Poincaré Anal. Non Linéaire 2009
H. Ibrahim, R. Monneau On a parabolic logarithmic Sobolev inequality J. Funct. Anal. 2009
H. Ibrahim, M. Jazar, R. Monneau Dynamics of dislocation densities in a bounded channel. Part II: existence of weak solutions to a singular Hamilton-Jacobi/parabolic strongly coupled system Communications in Partial Di 2009
A. El Hajj, H. Ibrahim, R. Monneau Dislocation dynamics: from microscopic models to macroscopic crystal plasticity Continuum Mech. Thermodyn. 2009
A. El Hajj, H. Ibrahim, R. Monneau Derivation and study of dynamical models of dislocation densities ESAIM : PROCEEDINGS 2009
A. El Hajj, H. Ibrahim, R. Monneau Homogenization of dislocation dynamics IOP Conf. Series, Materials Science and Engineering 2009
H. Ibrahim, M. Jazar, R. Monneau Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions C. R. Acad. Sci. Paris, Ser. I 2008

Supervision
**1 Supervised Student**

Analysis of strongly coupled singular parabolic system of dislocation dynamics

Vivian Hussein Rizik

Master M2 Thesis: Partial Differential Equations and Numerical Analysis in *2015*

Mohammad Al-Haj

M2 Mathematics