Publications
Revues internationales (avec comité de lecture)
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C. Besse, S. Descombes, G. Dujardin, I. Lacroix-Violet,
Energy preserving methods for nonlinear Schrödinger equations.
A paraître dans IMA Journal of Numerical Analysis (2020) Fichier pdf
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D. Bresch, M. Gisclon, I. Lacroix-Violet
On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluid models.
Archive for Rational Mechanics and Analysis, 233 no. 3 (2019) Fichier pdf
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I. Lacroix-Violet, A. Vasseur
Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit.
Journal de Mathématiques Pures et Appliquées, 114 (2018) Fichier pdf
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C. Besse, G. Dujardin, I. Lacroix-Violet,
High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates.
SIAM Journal on Numerical Analysis, 55 no. 3 (2017) Fichier pdf
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C. Besse, M. Ehrhardt, I. Lacroix-Violet,
Discrete Artificial Boundary Conditions for the Korteweg de Vries equation.
Numerical Methods for Partial Differential Equations, 32 no. 5 (2016) Fichier pdf
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M. Gisclon, I. Lacroix-Violet,
About the barotropic compressible quantum Navier-Stokes equations.
Nonlinear Analysis Series A : Theory, Methods and Applications, 128 (2015) Fichier pdf
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C. Chainais-Hillairet, P.L. Colin, I. Lacroix-Violet,
Convergence of a finite volume scheme for a corrosion model.
International Journal of Finite Volumes, 27 (2015) Fichier pdf
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C. Chainais-Hillairet, I. Lacroix-Violet,
On the existence of solutions for a drift-diffusion system arising in corrosion modelling.
Discrete and Continuous Dynamical System, Series B, 20 no. 1 (2015) Fichier pdf
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C. Besse, J. Coatleven, S. Fliss, I. Lacroix-Violet, K. Ramdani,
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.
Communications in Math Sciences, 11 no. 4 (2013) Fichier pdf
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C. Chainais-Hillairet, I. Lacroix-Violet,
Existence of solutions to a corrosion model.
Applied Mathematical Letters, 25 (2012)
Fichier pdf
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C. Besse, F. Charles, J.P. Dudon, T. Goudon, I. Lacroix-Violet, L. Navoret, N. Vauchelet,
Numerical approximation of Knudsen layer for the Euler-Poisson system.
ESAIM : Proc. CEMRACS'10 research achievements : Numerical modeling of fusion, 32 (2011)
Fichier pdf
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C. Besse, S. Borghol, J.P. Dudon, T. Goudon, I. Lacroix-Violet,
Hydrodynamic regimes, Knudsen Layer, Numerical Schemes: Definition of boundary fluxes.
Advances in Applied Mathematics and Mechanics, 3 no.5 (2011)
Fichier pdf
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A. Jungel et I. Violet,
Mixed entropy estimates for the porous medium equation with convection.
Discrete and Continuous Dynamical Systems, Series B, 12 no. 4 (2009)
Fichier pdf
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C. Chainais, Y.J. Peng et I. Violet,
Numerical solutions of the Euler-Poisson systems for the potential flow.
Applied Numerical Mathematics, 59 no. 2 (2009)
Fichier pdf
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I. Violet,
High order expansions in quasi-neutral limit of the Euler-Poisson system for a potential flow.
Proceedings of the Royal Society of Edinburgh, 137A (2007)
Fichier pdf
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A. Jungel et I. Violet,
First order entropies for the Derrida-lebowitz-Speer-Spohn equation.
Discrete and continuous dynamical systems, Series B, 8 (4) (2007)
Fichier pdf
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A. Jungel et I. Violet,
The quasineutral limit in the quantum drift-diffusion equations.
Asymptotic Analysis, 53 (3) (2007)
Fichier pdf
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Y.J. Peng et I. Violet,
Example of supersonic solutions to a steady-state Euler-poisson system.
Applied Mathematical Letters, 19 (2006)
Fichier pdf
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Y.J. Peng et I. Violet,
Asymptotic Expansions in a steady state Euler-Poisson System and convergence to incompressible Euler equations.
M3AS (Mathematical Models and Methods in Apllied Sciences), Vol. 15, No. 5, (2005)
Fichier pdf
Actes de congrès internationaux
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C. Chainais-Hillairet, P.L. Colin, I. Lacroix-Violet,
Convergence of a finite volume scheme for a corrosion model,
in proceedings of The International Symposium of Finite Volumes for Complex Applications VII
Berlin, June 15-20, (2014)
Fichier pdf
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I. Lacroix-Violet,
Some results on the Euler-Poisson system for plasmas and semiconductors,
in Some Problems on Nonlinear Hyperbolic Equations and Applications, The
French-Chinese Summer Institute on Applied Mathematics held at Fudan University, Shanghai,
September 1-21, 2008. Edited by Ta-tsien Li, Yue-Jun Peng, Bopeng Rao. Series in Contemporary
Applied Mathematics, CAM 15,World Scientific, (2010)
Fichier pdf
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C. Besse, S. Borghol, J.P. Dudon, T. Goudon, I. Lacroix-Violet,
On hydrodynamic model for LEO spacecraft charging,
in Some Problems on Nonlinear Hyperbolic Equations and Applications, The
French-Chinese Summer Institute on Applied Mathematics held at Fudan University, Shanghai,
September 1-21, 2008. Edited by Ta-tsien Li, Yue-Jun Peng, Bopeng Rao. Series in Contemporary
Applied Mathematics, CAM 15,World Scientific, (2010)
Fichier pdf
Articles soumis pour publication
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G. Dujardin, I. Lacroix-Violet,
High order linearly implicit methods for evolution equations. (2019)
Manuscrits de thèse et d'HDR
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Manuscrit d'HDR,
soutenue le 24 novembre 2017 (Université de Lille)
Fichier pdf
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Manuscrit de thèse,
soutenue le 21 novembre 2006 (Université Blaise Pascal de Clermont-Ferrand en co-tutelle avec l'Université Johannes Gutenberg de Mainz en Allemagne)
Fichier pdf