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Coming
soon ...
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| A nonlocal model with
adaptive constraints based on the transport metric of
cartoon and texture decomposition (with F.
Karami, D. Meskine and O. Oubbih) |
| Byond obstacle Hamilton-Jacobi equation :
variational and quasi-variational problem (with H.
Ennaji) |
Singular Incompresssible
limit of Porous Medium Equation with linear Drift
|
Evolution Problem for the
$1$-Laplacian with Mixed Boundary Conditions (with J.
Mazon and J. Toledo)
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| Density-Informed Velocity
Field Correction in a mathematical model for Crowd
Motion (with E. Erraji, F.
Karami and D. Meskine) |
|
Publications
(international peer
reviewed journals)
|
[Ig65]
BV-Estimates
for Nonlinear Diffusion Equation with Linear Drift and
Mixed Boundary Conditions (with F.
Karami, D. Meskine)
Preprint, 35
pages 2025. 
|
[Ig64] Congested Crossing Pedestrian Traffic flow :
Dispersion vs Transport in Crowded Areas (with M. AL
Khatib, S. Gounane, G. Jradi)
To appear in Math. Models & Methods Appl.
Sci. (M3AS), 39 pages
2025.
|
[Ig63] Cross-diffusion Theory for Overcrowding
Dispersal in Interacting Species
Preprint,
33 pages 2024.
|
[Ig62] A
granular Model for Crowd Motion and Pedestrian
Flow (With M. Urbano)
Preprint,
26 pages 2024.
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[Ig61]
Minimum Flow Steepest Descent Approach for
Nonlinear PDE
Preprint, 45 pages 2024.
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[Ig60]
Mathematical Study of Reaction-Diffusion in
Congested Crowd Motion (With F.
Karami and D. Meskine)
Preprint, 16 pages 2025.
|
[Ig59] Prediction-Correction
Pedestrian Flow by Means of Minimum Flow Problem (With H. Ennaji
and G. Jradi)
Math. Models & Methods Appl.
Sci. (M3AS), Vo. 34, No 03,
385-416, 2024.
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[Ig58] L^1-Theory for Incompresssible
limit of Porous Medium Equation with linear Drift
J. Differential Equations,
Vo 416, Part 2, 1015-1051, 2025.
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[Ig57] Quasi-convex
Hamilton-Jacobi equations via Finsler
p-Laplace Type Operator (with H. Ennaji
and V. Th. Nguyen)
SIAM J. Math. Analysis, Vo.
54(4), 2022.
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[Ig56] L^1-Theory
for Hele-Shaw flow
with linear drift
Math.
Models & Methods Appl. Sci. (M3AS),
Vo. 33(07), 1545-1576, 2023.
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[Ig55] Beckmann-Type
Problem for degenerate Hamilton-Jacobi equations
(with H. Ennaji and V. Th. Nguyen)
Quart.
Appl. Math, 80 (2022), 201-220.
|
[Ig54] Continuous
Lambertian Shape From Shading: A primal-dual algorithm
(with H. Ennaji and V. Th. Nguyen)
ESAIM: M2AN,
56(2), 2022, 485-504.
|
[Ig53] Augmented Lagrangian method
for Hamilton-Jacobi equations (with H. Ennaji
and V. Th. Nguyen)
Calculus
of Variations and PDE, Vol. 60(23),
2021. Online
Version
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[Ig52] Hamilton-Jacobi and
Least-Worst Strategy in the Morphology of Lakes and
Obstacle Sandpile
Preprint,
14 pages.
|
[Ig51] Stochastic Interacting Particle System for Optimal Mass Transport
Problem
Preprint,
28 pages.
|
[Ig50] Optimal Partial Transport
Problem with Lagrangian costs (with Th. Nguyen)
ESAIM:
M2AN Vol 52(5), 2018.
|
[Ig49] On a Mathematical Model for
Travelling Sand Dune(with
F. Karami and D. Meskine)
Nonlinear
Anal. Real World Applications, Vo 62,
December 2021,
103356.
|
[Ig48] On the Uniqueness and
Numerical Approximations for a Matching Problem (with Th.
Nguyen and J. Toledo)
SIAM J.
Optimization, 27(4), 2459-2480,
2017. 
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[Ig47] On the minimizing movement
with the 1-Wasserstein distance (with M. Agueh and G. Carlier)
Control,
optimization and Calculus of Variation
(ESSAIM: COCV), 24 No2, 1415-1427,
2018.
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[Ig46] Elliptic Problem involving
non-local Boundary Conditions (with S. Safimba)
Nonlinear
Anal. TMA 181 (2019), 87–100.
|
[Ig45] Augmented Lagrangian Method
for Optimal Partial Transport (with Th.
Nguyen)
IMA
J. Numerical Analysis, 38(1),
156-183, 2018.
|
[Ig44] Sub-gradient Di ffusion
Operator (with N. Ta
Thi)
J.
Differentiel Equations, 262(7)
3837-3863, 2017.
|
[Ig43] Optimal Partial Mass
Transportation and Obstacle Monge-Kantorovich
Equation (with Th.
Nguyen)
J.
Differential
Equations,, 264(10), 6380-6417,
2018.
|
[Ig42] On a Dual Formulation for
Growing Sandpile Problem with Mixed Boundary Conditions
(with F.
Karami, S. Ouaro and U. Traoré)
Applied
Mathematics and Optimization, 23 pages,
to appear 2017.
|
[Ig41] Optimal Mass
Transportation for a Finsler Distance Cost via
p-Laplacian Approximation (with
J. Mazon, J. Toledo and J. Rossi)
Advances
in Calculus of Variations, Adv.
Calc. Var. 11(1): 1-28, 2018.
|
[Ig40] Metric
Character for the Sub-Hamilton-Jacobi Obstacle
Equation
SIAM
J. Math. Analysis, 49(4), 3143-3160, 2017.
|
[Ig39] Equivalent
formulations for nonhomogeneous
Neumann-Monge-Kantorovich equation (with S. Ouaro
and U. Traoré)
Topological
Method in nonlinear Analysis, 47(1), 109-123, 2016. |
[Ig38] Discrete
Collapsing Sandpile Model (with F. Karami and N.
Ta Thi)
Nonlinear
Analysis TMA, Volume 99, 177-189,
2014.
|
[Ig37] Evolution
Monge-Kantorovich Equation
J.
Differential
Equations, Vo. 255, Issue 7,
1383-1407, 2013.
|
[Ig36] Elliptic
Problem Involving Diffuse Measure Data (with S.
Ouaro et S. Safimba)
J.
Differential
Equations, 253(12) 3159-3183, 2012. |
[Ig35] A
Partial Integro-Differential Equation in Granular Matter
and Its Connection with Stochastic Model.
SIAM
J.
Math. Anal. 44, pp.
1950-1975, 2012. |
[Ig34] Uniqueness
techniques for degnenerate convection-diffusion problems
(with B. Andreianov)
Int.
J. of Dynamical Systems and Differential Equations,
2012 - Vol. 4, No.1/2 pp. 3 - 34.
|
[Ig33] A
Monge-Kantorovich mass transport problem for a discrete
distance (with J. Mazon, J. Rossi et J.
Toledo)
J.
Functional
Analysis, Volume 260, Issue 12,
3494-3534, 2011.
|
[Ig32] On
the collapsing sandpile problem (with S. Dumont).
Communications
on
Pure and Applied Analysis (CPAA), Vo 10
(2), 625-638, 2011.
|
[Ig31] Elliptic-Parabolic
equation with absorption of obstacle type (with F. Karami).
Advanced
Nonlinear
Studies, Vol. 11, No. 1, p. 179-200, 2011. |
[Ig30] Renormalized
Solutions for Stefan Type Problems : Existence and
UNI-queness (with K. Sbihi et P. Wittbold).
Nonlinear
Differential
Equations Appl. (1) Vol. 17,
2010, 69-93.
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[Ig29] Degenerate
Elliptic Equations with Nonlinear Boundary Conditions
and Measures Data (with F. Andreu, J. Mazon et J.
Toledo).
Ann.
Scuola
Normale Sup. Pisa, Cl. Sci. (5) Vol. VIII
(2009), 1-37
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[Ig28] A
Generalized Collapsing Sandpile Model.
Archiv
Der
Mathematik, Volume 94, Number 2, .
|
[Ig27] From
Fast to Very Fast Diffusion in the Nonlinear Heat
Equation.
Transaction
of
the AMS, Vo.
361, No. 10 (2009) 5089–5109. |
[Ig26] Equivalent
Formulations for Monge-Kantorovich Equation.
Nonlinear
Analysis
TMA, 71 (2009), 3805-3813.
|
[Ig25] Back
on Stochastic Model for Sandpile.
Recent
developments
in Nonlinear Analysis, Proceedings of the
conference in Mathematics and Mathematical Physics,
Morocco 28-30 October 2008. |
[Ig24] On
a Dual Formulation for the Growing Sandpile Problem,
(with S.
Dumont).
European
Journal
of Applied Mathematics, vol. 20, (2008) pp.
169–185. |
[Ig23] Localized
large reaction for a non linear Reaction-Diffusion
system, (with F. Karami).
Advances
Differential Equations, 13 (2008),
no. 9-10, 907--933. |
[Ig22] Obstacle
problems for degenerate elliptic equations with
nonlinear boundary conditions (with F. Andreu, J. Mazon et J.
Toledo).
Mathematical
Models and Methods in Applied Sciences, Vol.
18, No. 11 (2008) 1869–1893 |
[Ig21] Renormalized Solutions for Degenerate
Elliptic-Parabolic Problems with Nonlinear Dynamical
Boundary Conditions (with F. Andreu, J. Mazon et J.
Toledo).
J.
Differential
Equations, Vo. 244, 11(2008),
2764-2803. |
[Ig20] Hele
Shaw Problem with Dynamical Boundary Conditions.
Jour.
Math.
Anal. Applications, Vo. 335, No.
2, 1061-1078, 2007. |
[Ig19] Uniqueness
for the Inhomogeneous Dirichlet Problem for
Elliptic-Parabolic Equations, (with B.
Andreianov).
Proc.
Edinburgh
Math. Society, 137A, 1119-1133, 2007. |
[Ig18] Some
competition phenomena in evolution equations
(with F.
Karami).
Adv.
Math. Sci. Appli., vo. 7, No. 2, 1-30,
2007.
|
[Ig17] L^1
Existence and UNI-queness Results for Quasi-linear
Elliptic Equations with Nonlinear Boundary Conditions
(with F. Andreu, J.
Mazon et J. Toledo).
Annales
de
l'IHP (C) : Non Linear Analysis, Vo.
24, No 1, 61-89, 2007. |
[Ig16] A
Degenerate Elliptic-Parabolic Problem with Nonlinear
Dynamical Boundary Conditions (with F. Andreu, J. Mazon et J.
Toledo).
Interfaces
Free
Bound. 8 (2006), no. 4, 447--479.
|
[Ig15] Revising
Uniqueness for a Nonlinear Diffusion Convection
Equation, (with B. Andreianov).
J.
Differential
Equations , Vo. 227 (2006), no-1
69-79. |
[Ig14] Existence
and Uniqueness Results for quasi-lnear Elliptic and
Parabolic Equations with Nonlinear Dynamical Boundary
Conditions, (with F. Andreu, J. M. Mazon et J.
Toledo).
Int.
Series
Numerical Math., Vo. 154, 2006, 11-21. |
[Ig13] [A Nonlinear Diffusion Problem
With Localized Large Diffusion.
Comm.
Partiel
Differentiel Eq. 29
(2004), no.
5-6, 647--670. |
[Ig12] The
Mesa Problem for the Neumann Boundary Value Problem
(with Ph. Bénilan).
J.
Differential
Equations 196
(2004), no.
2, 301--315. |
[Ig11] Uniqueness
for Nonlinear Degenerate Problems (with M. Urbano).
Nonlinear
Differential
Equations Appl. (NoDEA),
10
(2003), no.3,
287--307. |
[Ig10] Stabilization
Results for Degenerate Parabolic Equations with
Absorption.
Nonlinear
Analysis
TMA 54, 2003, no.
1, 93--107. |
[Ig9] Singular
Limit of the Changing Sign Solutions of the Porous
Medium Equation (with Ph. Bénilan).
J.
Evol.
Equations. 3
(2003), no.
2, 215--224. |
[Ig8] A
Degenerate Diffusion Problem with Dynamical Boundary
Conditions,(with M. Kirane).
Mathematische
Annalen 323
(2002), no.
2, 377--396. |
[Ig7] Blow
up for a Completely Coupled Fujita Type
Reaction-Diffusion System,(with M. Kirane),
Colloquium
Mathematicum, 92
(2002), no.
1, 87--96. |
[Ig6] The
Mesa-Limit of the Porous Medium-Equation and the
Hele-Shaw Problem,
Differential
Integral
Equations 15
(2002), no.
2, 129--146. |
[Ig5] On
the Large Time Behavior of Solutions to Some Degenerate
Parabolic Equations,
Comm.
Partial
Differential Equations 26
(2001), no.
7-8, 1385--1408. |
[Ig4] Limite de u_t=Delta u^m +
div(F(u)), Lorsque m-> \infty, (with Ph. Bénilan).
Rev.
Mat.
Complut. 13 (2000), no.
1, 195--205. |
[Ig3] Singular
Limit of Perturbed Nonlinear Semigroups,
(with Ph. Bénilan).
Comm.
Appl.
Nonlinear Anal. 3
(1996), no.
4, 23--42. |
[Ig2] Solutions
Auto-Similaires pour une Equation de Barenblatt.
Revista
de
Matematicas Aplicadas. 17 (1996),
no.
1, 21--36. |
[Ig1] La Limite de
u_t=Delta_p u^m Lorsque m-> \infty,
(with Ph. Bénilan).
C.
R.
Acad. Sci. Paris Sér. I Math.
321 (1995). |
|
Not
published
|
| [Ig04] A Nonlocal
Monge-Kantorovich Problem (with J. Mazon, J.
Rossi et J. Toledo), 55 pages. |
[Ig03] Travelling Sand Dune
Model, 17 pages.
|
| [Ig02] On Monge-Kantorovich
equation, 15 pages. |
| [Ig01] LargeTime Behavior of
the Stefan Problem and Singular Limit of the PME,
7 pages. |
|
Thesis
|
| [Ig-hdr] Analyse de quelques
problèmes elliptiques et paraboliques non linéaires
dégénérés : existence, unicité, limite
dingulière et comportement asymptotique. Thése
d'habilitation à diriger des recherches, Université de Picardie
Jules Verne, 2005. |
[Ig-phd] Limites singulière
de problèmes d'évolution.
Thèse de Doctorat de l'Université de
Franche-Comté, 1997. |
[Ig-dea] Sur l'Equation de
Barenblatt Non Linéaire.
Mémoire de DEA, Université
de Franche-Comté, 1992 |
