Publications
Key words
PDEs.
Multiscale phenomena.
Homogenization. Rigorous upscaling. Asymptotic analysis.
Optimization.
Fluid mechanics.
Special
issue
Guest editor in chief, Special issue on optimization and
differential equations, 2022
Discrete
and
Continuous Dynamical Systems-S
À
venir
(coming soon...)
A numerical scheme for the optimal control of groundwater
pollution
(with M.M. Diédhiou, H. Nasser El Dine, C. Saint-Jean)
Numer.
Methods Partial Differ. Equ. (2023)
Articles
(with E. Augeraud-Véron, É. Comte, M.M. Diédhiou)
SIAM J. Control Optim. (2022), vol. 60(3), doi
Homogenization results for a Landau-Lifshitz-Gilbert equation in composite materials with transmission defects
(with M. Ouhadan, M. Tilioua)
Applicable Analysis (2022), vol. 101(12), 4126--4148, doi
Well-posedness of general cross-diffusion systems
(with C. Rosier, L. Rosier)
J. of Diff. Equations (2021), vol. 300, 386--425, doi
A companion paper for Well-posedness of general cross-diffusion systems:
Optimal buffer zone for the control of groundwater pollution from agricultural activities
(with E. Augeraud-Véron, É. Comte).
Applied Mathematics and Optimization (2020), vol. 84(1), 51--83, doi
Modelling of shallow aquifers in interaction with overland water
(with C. Bourel, C. Rosier, M. Tsegmid).
Applied Mathematical Modelling (2020), vol. 81, 727--751.
Fully automatic multi segmentation approach for MRI brain tumor detection using improved region growing and QMC-EM algorithm
(with H. Belkacem, Z. Chama, F. Alim-Ferhat, L. El Seddik, A. Abderrahmane, M. Anani).
International Journal of Imaging Systems and Technology (2020), vol. 30 (1), 104--111.
Derivation of Feynman-Kac and Bloch-Torrey equations in a trapping medium
(with M.C. Néel).
Methodology and Computing in Applied Probability (2020), vol. 22, 49--74.
Existence, uniqueness and asymptotic analysis of optimal control
problems for a model of groundwater pollution
(with E. Augeraud, E. Comte).
ESAIM: COCV (2019),
vol. 25 (53), doi
Homogenization of the Landau-Lifshitz-Gilbert equation in a
contrasted composite medium
(with M. Moumni, M. Tilioua).
Discrete
and
Continuous Dynamical Systems-S (2018), vol. 11 (1),
35--57.
Uniqueness for cross-diffusion systems issuing from seawater
intrusion problems (with J. Li, C. Rosier).
Electr. J. of Diff.
Equations (2017), vol. 2017 (256), 1--22.
Mathematical analysis of a seawater intrusion model including
storativity
(with M.M. Diédhiou, C. Rosier).
SIAM J. of
Math. Anal. (2017), vol. 49 (1), 29--63.
Numerical validation of an upscaled sharp-diffuse interface model
for stratified miscible flows
(with L. Cherfils, M.M. Diédhiou).
Mathematics
and
Computers in Simulation, (2017), vol. 137, 246--265.
Optimal control for a groundwater pollution ruled by a
convection-diffusion-reaction problem (with E. Augeraud, E. Comte)
JOTA, J. of
Optimization Theory and Applications, (2017), vol.
173, 941--966.
Derivation of a sharp-diffuse interfaces model for seawater
intrusion in a free aquifer. Numerical simulations (with M.M.
Diédhiou, C. Rosier).
SIAM J. of
Appl. Math. (2016), vol. 76 (1), 138--158.
Mathematical analysis of a sharp-diffuse interfaces model for
seawater intrusion (with M.M. Diédhiou, C. Rosier).
J.
of
Diff. Equations (2015), vol. 259 (8), 3803--3824.
Global existence for seawater intrusion models: comparison
between sharp interface and sharp-diffuse interface approaches
(with J. Li, C. Rosier).
Electr. J. of Diff.
Equations, (2015), vol. 2015 (126), 1--27.
From particles scale to anomalous or classical
convection-diffusion models with path integrals
(with M.C. Néel).
DCDS,
(2014), vol. 7(2) 207--238.
Effective models for reactive flow under dominant Péclet and
Damköhler numbers: numerical simulations
(with C. Rosier).
Nonlinear
Analysis RWA, (2014), vol. 15, 345--360.
Roughness-induced effect at main order on the Reynolds
approximation
(with D. Bresch, L. Chupin, Th. Colin, and M. Gisclon).
SIAM
Multiscale
Model. Simul., (2010), vol. 8(3), 997--1017 &
erratum.
Parabolic and degenerate parabolic models for pressure-driven
transport problems.
Math.
Models Meth. App. Sci., (2010), vol. 1(4), 1--24.
Homogenization of a class of quasilinear elliptic equations with
non–standard growth in high-contrast media
(with L. Pankratov).
Proc.
Roy.
Soc. Edinburgh Sect. A, (2010), vol. 140, 495--539.
Analysis of a finite volume-finite element scheme for a nuclear
transport model
(with S. Zimmermann).
IMA
J.
Num. Anal.15
(2009), 1--30.
Nonlinear double porosity models with non-standard growth
(with L. Pankratov).
C.R.
Mecanique, (2009), no. 337, 659--666.
Rigorous upscaling of the reactive flow with finite kinetics and
under dominant Peclet number
(with A. Mikelic).
Continuum Mechanics and Thermodynamics, (2009), vol.
21, 125--140.
Homogenization of a model of transport of heat and mass
(with A. Sili).
Networks and Heterogeneous Media 4
(2009), no. 4, 649--666.
Asymptotic analysis of a radionuclide transport model with
unbounded viscosity.
Advanced
Nonlinear
Studies 9
(2009), 227--241.
Homogenized model for flow in partially fractured media.
Electronic
J.
Diff. Equations 2009
(2009), no. 1, 1--27.
Asymptotic analysis of a nonlinear parabolic problem modelling
miscible compressible displacement in porous media.
NoDEA,
Nonlinear
Differential Equations and Appl.15
(2008), no. 6, 757--782.
Laplace transform approach to the rigorous upscaling of the
infinite adsorption rate reactive flow under dominant Peclet
number through a pore
(with A. Mikelic).
Appl. Anal. 87
(2008), no. 12, 1373--1395.
Mathematical analysis of a transport model with unbounded heat
capacities.
Acta Appl. Math. 103
(2008), no. 3, 277--299.
Nuclear contamination in a
naturally fractured porous medium
Int. J. of Pure and Applied
Math. 42
(2008), no. 2, 281--288.
On a fully nonlinear parabolic
problem modelling miscible compressible displacement in porous
media.
J. Math. Anal. Appl. (2008),
no. 339, 1112--1133.
Transport of heat and mass in
a fluid with vanishing mobility.
Quart. Appl. Math. 66
(2008), no. 4, 771--779.
Semi-classical solutions for a nonlinear coupled
elliptic-parabolic problem.
Bull.
Austral.
Math. Soc., (2007), no. 76, 369--396.
Derivation of models of
compressible miscible displacement in partially fractured
reservoirs.
Electronic
J.
Diff. Equations, (2007) no. 97, 1--29.
On a nonlinear parabolic
system modelling miscible compressible displacement in porous
media.
Nonlinear
Anal.
T.M.A. (2005) 6, no. 1-2, 237--260.
Radionuclide transport model
with wells.
Asymptot.
Anal.
(2004) 37, no. 1, 57--78.
Existence result for a
radionuclide transport model with unbounded viscosity.
J.
Math.
Fluid Mech. (2004) 6, no. 4, 365--388.
Derivation of the double
porosity model of a compressible miscible displacement in
naturally fractured reservoirs.
Appl.
Anal. (2004) 83, no. 5, 477--499.
Homogenization of a
one-dimensional model for compressible miscible flow in porous
media.
Boll.
Unione
Mat. Ital. Sez. B. (2003) 6, no. 2, 399--414.
Proceedings
On a compressible miscible displacement in naturally fractured
reservoirs.
2nd Biot Conference on
Poromechanics, A.A. Balkema, Rotterdam , (2002), 8
pp.
Roughness-Induced Effect on the Reynolds Approximation
(with L. Chupin, M. Gisclon).
ICNAAM 2009, 7th International
Conference of Numerical Analysis and Applied Mathematics,
(2009), 7 pp.
Feynman-Kac equation for convection, dispersion and sorption
(with M.C. Néel).
Chaos Complexity and Transport,
World Scientific (2012), 9 pp.
Numerical analysis of a finite volume scheme for the optimal
control of groundwater pollution
(with M.M. Diédhiou, H. Nasser El Dine)
Finite
Volumes for complex applications 9, Springer
Proceedings in Mathematics and Statistics (2020), 10 pp.
Preprints
(with M.M. Diédhiou, C. Rosier), (2014) 27 pp.