Publications

Revues internationales (avec comité de lecture)

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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

  6. 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

  7. 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

  8. 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
  9. 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
  10. C. Chainais-Hillairet, I. Lacroix-Violet, Existence of solutions to a corrosion model. Applied Mathematical Letters, 25 (2012) Fichier pdf
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. A. Jungel et I. Violet, The quasineutral limit in the quantum drift-diffusion equations. Asymptotic Analysis, 53 (3) (2007) Fichier pdf
  18. Y.J. Peng et I. Violet, Example of supersonic solutions to a steady-state Euler-poisson system. Applied Mathematical Letters, 19 (2006) Fichier pdf
  19. 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

  1. 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
  2. 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
  3. 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

  1. G. Dujardin, I. Lacroix-Violet, High order linearly implicit methods for evolution equations. (2019)
Manuscrits de thèse et d'HDR

  • Manuscrit d'HDR, soutenue le 24 novembre 2017 (Université de Lille) Fichier pdf
  • 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
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