Carole ROSIER
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Carole.Rosier@univ-littoral.fr
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : B114
- Téléphone : +33 3 21 46 55 83
- Adresse :
Directrice du LMPA
40 publications 
- Anderson acceleration. Convergence analysis and applications to equilibrium chemistry ( ), In Applied Numerical Mathematics, 2024. [hal]
- Mathematical Analysis of a Subsurface Flow Model ( ), In SIAM Journal on Applied Mathematics, volume 84, 2024.
- Numerical control of a semilinear wave equation on an interval ( ), Chapter in Advances in distributed parameter systems, Springer, Cham, volume 14, [2022] copyright 2022. [hal-lmpa]
- Numerical control of the wave equation and Huygens' principle ( ), In Math. Rep. (Bucur.), volume 24(74), 2022. [hal-lmpa]
- Mathematical analysis of a Dupuit-Richards model ( ), In Electron. J. Differential Equations, 2022. [hal-lmpa]
- Well posedness of general cross-diffusion systems ( ), In Journal of Differential Equations, volume 300, 2021. [hal-lmpa]
- Convergence acceleration of iterative sequences for equilibrium chemistry computations ( ), In Computational Geosciences, 2021. [hal-lmpa]
- Parameters identification in a saltwater intrusion problem ( ), In Acta Math. Sci. Ser. B (Engl. Ed.), volume 40, 2020. [hal-lmpa]
- Modeling of shallow aquifers in interaction with overland water ( ), In Appl. Math. Model., volume 81, 2020. [hal-lmpa]
- A nonlinear optimization method applied to the hydraulic conductivity identification in unconfined aquifers ( ), In J. Optim. Theory Appl., volume 183, 2019.
- A finite element method for a seawater intrusion problem in unconfined aquifers ( ), In Appl. Numer. Math., volume 127, 2018.
- Uniqueness for cross-diffusion systems issuing from seawater intrusion problems ( ), In Electron. J. Differential Equations, 2017. [hal-lmpa]
- General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping ( ), In Comput. Math. Appl., volume 73, 2017.
- Mathematical analysis of a seawater intrusion model including storativity ( ), In SIAM J. Math. Anal., volume 49, 2017. [hal]
- Numerical analysis for the wave equation with locally nonlinear distributed damping ( ), In J. Comput. Appl. Math., volume 301, 2016.
- Derivation of a sharp-diffuse interfaces model for seawater intrusion in a free aquifer. Numerical simulations ( ), In SIAM J. Appl. Math., volume 76, 2016. [hal-lmpa]
- Numerical analysis for a seawater intrusion problem in a confined aquifer ( ), In Math. Comput. Simulation, volume 118, 2015.
- Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion ( ), In J. Differential Equations, volume 259, 2015. [hal-lmpa]
- Global existence for seawater intrusion models: comparison between sharp interface and sharp-diffuse interface approaches ( ), In Electron. J. Differential Equations, 2015.
- Numerical simulations for a seawater intrusion problem in a free aquifer ( ), In Appl. Numer. Math., volume 75, 2014.
- Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: numerical simulations ( ), In Nonlinear Anal. Real World Appl., volume 15, 2014.
- On the global existence for a degenerate elliptic-parabolic seawater intrusion problem ( ), In Math. Comput. Simulation, volume 81, 2011.
- Smooth solutions for the motion of a ball in an incompressible perfect fluid ( ), In J. Funct. Anal., volume 256, 2009. [hal-lmpa]
- Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore ( ), In Ann. Univ. Ferrara Sez. VII Sci. Mat., volume 53, 2007.
- On the global existence of solutions for a non-local problem occurring in statistical mechanics ( ), In Nonlinear Anal., volume 60, 2005. [hal-lmpa]
- Modeling solute transport through unsaturated porous media using homogenization. I ( ), In Comput. Appl. Math., volume 23, 2004.
- Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles ( ), Chapter in Nonlocal elliptic and parabolic problems, Polish Acad. Sci. Inst. Math., Warsaw, volume 66, 2004. [hal]
- On the analogy between self-gravitating Brownian particles and bacterial populations ( ), Chapter in Nonlocal elliptic and parabolic problems, Polish Acad. Sci. Inst. Math., Warsaw, volume 66, 2004. [hal]
- Finite speed propagation in the relaxation of vortex patches ( ), In Quart. Appl. Math., volume 61, 2003.
- Thermodynamics of self-gravitating systems ( ), In Phys. Rev. E (3), volume 66, 2002.
- Problème de Cauchy pour une équation parabolique modélisant la relaxation des systèmes stellaires auto-gravitants ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 332, 2001.
- Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics ( ), In Appl. Anal., volume 75, 2000.
- The modeling of small scales in two-dimensional turbulent flows: a statistical mechanics approach ( ), In J. Statist. Phys., volume 86, 1997.
- Multi-dimensional Riemann problems for linear hyperbolic systems ( ), In RAIRO Modél. Math. Anal. Numér., volume 30, 1996.
- Spectral methods for $2$D Riemann problems ( ), Chapter in , volume 116, 1994, ICOSAHOM'92 (Montpellier, 1992).
- Multi-dimensional Riemann problems for linear hyperbolic systems. II ( ), Chapter in Nonlinear hyperbolic problems: theoretical, applied, and computational aspects (Taormina, 1992), Friedr. Vieweg, Braunschweig, volume 43, 1993.
- Multi-dimensional Riemann problems for linear hyperbolic systems. I ( ), Chapter in Nonlinear hyperbolic problems: theoretical, applied, and computational aspects (Taormina, 1992), Friedr. Vieweg, Braunschweig, volume 43, 1993.
- A nonlinear Galerkin method for the Navier-Stokes equations ( ), Chapter in Spectral and high order methods for partial differential equations (Como, 1989), North-Holland, Amsterdam, 1990.
- A nonlinear Galerkin method for the Navier-Stokes equations ( ), Chapter in , volume 80, 1990, Spectral and high order methods for partial differential equations (Como, 1989).
- The nonlinear Galerkin method in computational fluid dynamics ( ), In Appl. Numer. Math., volume 6, 1990.