Publications

Key words

PDEs.
Multiscale phenomena.
Homogenization. Rigorous upscaling. Asymptotic analysis. Optimization.
Fluid mechanics.

 

Special issue

Guest editor in chief, proceedings of IMAME 2016,
Discrete and Continuous Dynamical Systems-S


À venir
(coming soon...)

Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium (with M. Moumni, M. Tilioua).
Discrete and Continuous Dynamical Systems-S


Articles

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, online first DOI 10.1016/j.matcom.2016.10.010

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, online first DOI 10.1007/s10957-016-1017-8

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.

Preprints

Seawater intrusion problem in a free aquifer: derivation of a sharp-diffuse interfaces model and existence result
(with M.M. Diédhiou, C. Rosier), (2014) 27 pp.