C. Bourdarias, M. Gisclon, T. Ngom «On a system of PDEs modeling a non-isothermal adsorption column with a single species» Journal of Mathematical Analysis and Applications, 2024
C. Ruyer-Quil, D. Bresch, M. Gisclon, G. Richard, M. Kessar, N. Cellier «Sliding and merging of strongly sheared droplets» Journal of Fluid Mechanics, 2023
D. Bresch, M. Gisclon, I. Lacroix-Violet, A. Vasseur «On the exponential decay for compressible Navier Stokes Korteweg equations with a drag term» Journal of Mathematical Fluid Mechanics, 2021
D. Bresch, N. Cellier, F. Couderc, M. Gisclon, P. Noble, G.-L. Richard, C. Ruyer-Quil, J.-P Vila «Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density» Journal of Computation Physics, 2020
C. Bourdarias, M. Gisclon, S. Junca «Kinetic formulation of a 2x2 hyperbolic system arising in gas chromatography» Kinetic and Related Models. 2020
G. -L. Richard, M. Gisclon, C. Ruyer-Quil, J.-P Vila «Optimization of consistent two-equation models for thin films flows» Eur. J. Mech. B/Fluids 76, 7--25, 2019
D. Bresch, M. Gisclon, I. Lacroix-Violet «On Navier-Stokes-Korteweg and Euler- Korteweg systems: applications to quantum fluids models» Vol 7, No 2, Arch. Ratio. Mech. Anal. 233, No. 3, 975--1025, 2019
V. Liapidevskii, D. Dutykh, M. Gisclon «On the modelling of shalllow turbidity flows. Advances in Water Resources» ADWR3073, 113, 310--327, 2018
M. Chhay, D. Dutykh, M. Gisclon, C. Ruyer-Quil «New asymptotic heat transfer model in thin liquid films» Appl. Math.Model. 48, 844 − 859. 2017
C. Bourdarias, M. Gisclon, S. Junca, Y.-J Peng «Eulerian and Lagrangian formulations in BV^s for gas-solid chromatography» Commun. Math. Sci. 14, No. 6, 1655--1685, 2016
M. Gisclon, I. Lacroix-Violet «About the barotropic compressible quantum Navier-Stokes equations» Nonlinear Anal. 128, 106--121, 2015
C. Bourdarias, M. Gisclon, S. Junca «Blow-up or not blow-up at the hyperbolic boundary for a system from chemistry Hyperbolic problems: theory, numerics, applications» 8, 615--622, Am. Inst. Math. Sci. Springfield, 2014.
C. Bourdarias, M. Gisclon, S. Junca «Fractional BV spaces and applications to scalar conservation laws» J. Hyperbolic Diff. Equ. 11, No 4, 655--677, 2014
C. Chainais-Hillairet, M. Gisclon, A. Juengel «A finite-volume scheme for the multidimensional quantum drift-diffusion model for semiconductors» Num. Meth. PDE, 27, No 6, 1483--1510, 2011
C. Bourdarias, M. Gisclon, T. Ngom «Derivation and numerical study of a new viscous shallow water bifluid model» Int. J. Pure Appl. Math. 68, No 3, 265--281, 2011
D. Dutykh, M. Gisclon, Y. Meyapin «Two-fluid barotropic models for powder-snow avalanche flows» Computational science and high performance computing IV, 219–232, Notes Numer. Fluid Mech. Multidiscip. Des., 115, Springer, Berlin, 2011.
L. Chupin, C. Choquet, M. Gisclon «Convergence with a double effect of rouhgness » ArXiv, arXiv : 1002.3215 : 1--22, 2010
C. Bourdarias, M. Gisclon, S. Junca
«Strong stability with respect to weak
limit for a hyperbolic system arising from gas chromatography»
Methods and Applications of Analysis (MAA), 17, No 3, 301--330, 2010
D. Dutykh, M. Gisclon, Y. Meyapin
« Velocity and energy relaxation in
two-phase flows» Stud. Appl. Math. 125, No 2, 179--212, 2010
C. Bourdarias, M. Gisclon, S. Junca
« Blow up at the hyperbolic boundary
for a 2x2 system arising from chemical engineerin » J.
Hyperbolic Differ. Equ., 7, no 2, 297--316, 2010
D. Bresch, C. Choquet, L. Chupin, T. Colin, M. Gisclon
«Roughness-induced effect at main order
on the Reynolds Approximation» SIAM, Multiscale Model.
Simul. 8, No 3, 997--1017, 2010
D. Dutykh, M. Gisclon, Y. Meyapin
«Two-fluid barotropic models for
powder-snow avalanche flows»
In the Fourth Russian German
Advanced Research Workshop on Computational Science and High
Performance Computing. Springer series. Notes on Numerical Fluid
Mechanics and Multidisciplinary Design, 2009
C. Bourdarias, M. Gisclon, S. Junca
«Hyperbolic models in gas-solid
chromatography» Bol. Soc. Esp. Mat. Apl., SEMA, No 43,
29--57, 2008
D. Bresch, B. Desjardins, M. Gisclon, R. Sart
«Instability results related to
compresible Korteweg system» Ann. Univ. Ferrera Sez. 54, No
1, 11--36, 2008
C. Bourdarias, S. Gerbi, M. Gisclon
«A kinetic formulation for a model
coupling free surface and pressurid flows in closed pipes»
J. Comput. Appl. Math. 218, No 2, 522--531, 2008
C. Bourdarias, M. Gisclon, S. Junca
«Existence of weak entropy solutions for
gas chromatography system with one or two active species and
nonconvex isotherm» Commun. Math. Sci. 5, No 1, 67--84, 2007
C. Bourdarias, M. Gisclon, S. Junca
«Some mathematical results on a sytem of
transport equations with an algebraic constraint describing fxed-bed
adsorption of gases» J. Math. Anal. Appl. 313, No 2,
551--571, 2006
D. Bresch, M. Gisclon, C. K. Lin
«An example of low Mach (Froude) number
effects for compressible flows with nonconstant density (height)
limit» M2AN: Math. Model. Numer. Anal. 39, No 3, 477--486,
2005
B. Bidegaray-Fesquet, F. Castella, E. Dumas, M. Gisclon
«From Bloch model to the rate equations
II : the case of almost degenerate energy levels» Math.
Models Methods Appl. Sci. (M3AS) 14, No 12, 1785--1817, 2004
C. Bourdarias, M. Gisclon, A. Omrane
«Transmission
boundary conditions in a model-kinetic decomposition domain»
Discrete Contin. Dyn. Syst., Series B, 2, No 1, 69--94, 2002
T. Colin, M. Gisclon
«An initial-boundary value probleme that
approximate the quarter-plane problem for the Korteweg-de Vries
equation» Non linear analysis theory, methods and
applications, No 46, 869--892, 2001
M. Gisclon
«Comparaison
de deux perturbations singulières pour l'équation de Burgers avec
conditions aux limites»
C. R. Acad. Sci. Paris, tome 316,
No 10, Série I, 1011--1014, 1993.
M. Gisclon, D. Serre
«Etude
des conditions aux limites pour un système strictement
hyperbolique, via l'approximation parabolique»
C. R.
Acad. Sci. Paris, tome 319, No 4, Série I, 377--382, 1994
M. Gisclon
«Etude
des conditions aux limites pour un système strictement
hyperbolique, via l'approximation parabolique»
J. Math.
Pures Appl., 75, No 5, 485--508, 1996
M. Gisclon, D. Serre
«Conditions aux limites pour un système
strictement hyperbolique fournies par le schéma de Godunov»
RAIRO,
Modél. Math. Anal. Numér. 31, No 3, 359--380, 1997
M. Gisclon «A propos de l'équation de la chaleur», Journal de Mathématiques des Elèves de l'Ecole Normale Suprieure de Lyon, Volume 1, No 4, 1996
C. Acary-Robert, D. Dutykh, M.Gisclon «Modélisation et simulation numérique d'avalanches de neige» Des mathématiques à la montagne. Image des mathématiques, 2011
C. Acary-Robert, D. Dutykh, M. Gisclon «Un modello per simulare numericamente le valanghe di nev» SIMAI Maddmaths, 2012
M. Gisclon, M. Raibaut «Optique et mathématiques» Bulletin Vert de l'APMEP, No 521, 562--571, 2016