L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Carole Rosier

• Grade : Professeur
• Equipe : Analyse
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais
• Bureau : B114
• Email : Carole.Rosier@lmpa.univ-littoral.fr
• Téléphone : 03.21.46.55.83

## Publications

### Articles de revues

1. Numerical simulations for a seawater intrusion problem in a free aquifer (, and ), In Appl. Numer. Math., volume 75, . [pdf]
2. Derivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical Simulations (, and ), In SIAM J. Appl. Math., volume 76, . [pdf]
3. Numerical analysis for the wave equation with locally nonlinear distributed damping (, and ), In J. Computational and Applied Mathematics, .
4. Numerical analysis for a seawater intrusion problem in a confined aquifer ( and ), In Math. Comput. Simulation, volume 118, . [pdf]
5. Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: numerical simulations ( and ), In Nonlinear Anal. Real World Appl., volume 15, . [pdf]
6. On the global existence for a degenerate elliptic-parabolic seawater intrusion problem ( and ), In Math. Comput. Simulation, volume 81, . [pdf]
7. Smooth solutions for the motion of a ball in an incompressible perfect fluid ( and ), In J. Funct. Anal., volume 256, . [pdf]
8. Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore ( and ), In Ann. Univ. Ferrara Sez. VII Sci. Mat., volume 53, . [pdf]
9. On the global existence of solutions for a non-local problem occurring in statistical mechanics ( and ), In Nonlinear Anal., volume 60, . [pdf]
10. Modeling solute transport through unsaturated porous media using homogenization. I ( and ), In Comput. Appl. Math., volume 23, . [pdf]
11. Finite speed propagation in the relaxation of vortex patches ( and ), In Quart. Appl. Math., volume 61, .
12. Thermodynamics of self-gravitating systems (, and ), In Phys. Rev. E (3), volume 66, . [pdf]
13. 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, . [pdf]
14. Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics ( and ), In Appl. Anal., volume 75, . [pdf]
15. The modeling of small scales in two-dimensional turbulent flows: a statistical mechanics approach ( and ), In J. Statist. Phys., volume 86, .
16. Multi-dimensional Riemann problems for linear hyperbolic systems (, and ), In RAIRO Modél. Math. Anal. Numér., volume 30, .
17. Spectral methods for $2$D Riemann problems ( and ), In Comput. Methods Appl. Mech. Engrg., volume 116, . [pdf]
18. A nonlinear Galerkin method for the Navier-Stokes equations (, and ), In Comput. Methods Appl. Mech. Engrg., volume 80, . [pdf]
19. The nonlinear Galerkin method in computational fluid dynamics (, and ), In Appl. Numer. Math., volume 6, . [pdf]

### Chapitres de livres

1. Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles ( and ), Chapter in Nonlocal elliptic and parabolic problems, Polish Acad. Sci., volume 66, . [pdf]
2. On the analogy between self-gravitating Brownian particles and bacterial populations (, , and ), Chapter in Nonlocal elliptic and parabolic problems, Polish Acad. Sci., volume 66, . [pdf]
3. Multi-dimensional Riemann problems for linear hyperbolic systems. II (, and ), Chapter in Nonlinear hyperbolic problems: theoretical, applied, and computational aspects (Taormina, 1992), Vieweg, volume 43, .
4. Multi-dimensional Riemann problems for linear hyperbolic systems. I (, and ), Chapter in Nonlinear hyperbolic problems: theoretical, applied, and computational aspects (Taormina, 1992), Vieweg, volume 43, .
5. A nonlinear Galerkin method for the Navier-Stokes equations (, and ), Chapter in Spectral and high order methods for partial differential equations (Como, 1989), North-Holland, .

### Rapports

1. Effective Dispersion Equations For Reactive Flows With Dominant Peclet and Damkohler Numbers (, , and ), Technical report, LMPA, .

septembre 2017 :