Edit Profile (opens in new tab) Rosier, Carole Co-Author Distance Author ID: rosier.carole Published as: Rosier, Carole; Rosier, C. Documents Indexed: 35 Publications since 1990 Co-Authors: 26 Co-Authors with 33 Joint Publications 583 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Choquet, Catherine 7 Rosier, Lionel 3 Diédhiou, Moussa Mory 3 Gilquin, Hervé 3 Laurens, Jérôme 3 Li, Ji 2 Abudawia, A. 2 Al Nazer, Safaa 2 Cavalcanti, Marcelo Moreira 2 Jauberteau, François 2 Mikelić, Andro 2 Mourad, Aya 2 Najib, Khalid 2 Rodrigues, José H. 2 Temam, Roger Meyer 2 Tsegmid, Munkhgerel 1 Bourel, Christophe 1 Cavalcanti, Valeria Domingos 1 Chavanis, Pierre-Henri 1 Corrêa, Wellington José 1 Dias Silva, Flávio Roberto 1 Domingos Cavalcanti, Valéria Neves 1 Jazar, Mustapha 1 Ribot, Magali 1 Robert, Raoul 1 Sire, Clément all top 5 Serials 3 Applied Numerical Mathematics 3 Electronic Journal of Differential Equations (EJDE) 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Computational and Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche all top 5 Fields 25 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 5 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 184 times in 127 Documents Cited by ▼ Year ▼ A nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0722.76039 Jauberteau, F.; Rosier, C.; Temam, R. 26 1990 The nonlinear Galerkin method in computational fluid dynamics. Zbl 0702.76077 Jauberteau, F.; Rosier, C.; Temam, R. 17 1990 Multi-dimensional Riemann problems for linear hyperbolic systems. II. Zbl 0921.35090 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 14 1993 Smooth solutions for the motion of a ball in an incompressible perfect fluid. Zbl 1173.35105 Rosier, Carole; Rosier, Lionel 12 2009 Derivation of a sharp-diffuse interfaces model for seawater intrusion in a free aquifer. Numerical simulations. Zbl 1397.76064 Choquet, C.; Diédhiou, M. M.; Rosier, C. 11 2016 On the global existence for a degenerate elliptic-parabolic seawater intrusion problem. Zbl 1419.76092 Najib, Khalid; Rosier, Carole 10 2011 Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013 Mikelić, Andro; Rosier, Carole 9 2007 Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion. Zbl 1335.35307 Choquet, C.; Diédhiou, M. M.; Rosier, C. 9 2015 Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics. Zbl 1162.76339 Rosier, Carole; Rosier, Lionel 7 2000 The modeling of small scales in two-dimensional turbulent flows: A statistical mechanics approach. Zbl 0952.76511 Robert, Raoul; Rosier, Carole 7 1997 Global existence for seawater intrusion models: comparison between sharp interface and sharp-diffuse interface approaches. Zbl 1422.76170 Choquet, Catherine; Li, Ji; Rosier, Carole 7 2015 Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064 Mikelic, Andro; Rosier, Carole 6 2004 Uniqueness for cross-diffusion systems issuing from seawater intrusion problems. Zbl 1372.35232 Choquet, Catherine; Li, Ji; Rosier, Carole 6 2017 On the analogy between self-gravitating Brownian particles and bacterial populations. Zbl 1055.92005 Chavanis, Pierre-Henri; Ribot, Magali; Rosier, Carole; Sire, Clément 5 2004 On the global existence of solutions for a non-local problem occurring in statistical mechanics. Zbl 1065.35065 Rosier, Carole; Rosier, Lionel 5 2005 Multi-dimensional Riemann problems for linear hyperbolic systems. Zbl 0865.35078 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 5 1996 Cauchy problem for a parabolic equation modeling the relaxation of selfgraviting stellar systems. (Problème de Cauchy pour une équation parabolique modélisant la relaxation des systèmes stellaires auto-gravitants.) Zbl 0981.35003 Rosier, Carole 4 2001 Numerical analysis for a seawater intrusion problem in a confined aquifer. Zbl 07313401 Abudawia, A.; Rosier, C. 4 2015 Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: numerical simulations. Zbl 1308.80014 Choquet, Catherine; Rosier, Carole 3 2014 Well posedness of general cross-diffusion systems. Zbl 1472.35217 Choquet, Catherine; Rosier, Carole; Rosier, Lionel 3 2021 Numerical analysis for the wave equation with locally nonlinear distributed damping. Zbl 1382.65339 Domingos Cavalcanti, V. N.; Rodrigues, J. H.; Rosier, C. 2 2016 General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping. Zbl 1373.65067 Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Rosier, Carole; Dias Silva, Flávio R. 2 2017 Modeling of shallow aquifers in interaction with overland water. Zbl 1481.76206 Bourel, Christophe; Choquet, Catherine; Rosier, Carole; Tsegmid, Munkhgerel 2 2020 Numerical simulations for a seawater intrusion problem in a free aquifer. Zbl 1285.76041 Marion, P.; Najib, K.; Rosier, C. 2 2014 A finite element method for a seawater intrusion problem in unconfined aquifers. Zbl 1403.76055 Abudawia, A.; Mourad, A.; Rodrigues, J. H.; Rosier, C. 1 2018 Multi-dimensional Riemann problems for linear hyperbolic systems. I. Zbl 0921.35089 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 1 1993 Finite speed propagation in the relaxation of vortex patches. Zbl 1028.76004 Rosier, Carole; Rosier, Lionel 1 2003 Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles. Zbl 1235.35202 Rosier, Carole; Rosier, Lionel 1 2004 Numerical control of a semilinear wave equation on an interval. Zbl 1511.93018 Cavalcanti, Marcelo; Cavalcanti, Valeria Domingos; Rosier, Carole; Rosier, Lionel 1 2022 A nonlinear optimization method applied to the hydraulic conductivity identification in unconfined aquifers. Zbl 1425.76051 Mourad, Aya; Rosier, Carole 1 2019 Numerical control of a semilinear wave equation on an interval. Zbl 1511.93018 Cavalcanti, Marcelo; Cavalcanti, Valeria Domingos; Rosier, Carole; Rosier, Lionel 1 2022 Well posedness of general cross-diffusion systems. Zbl 1472.35217 Choquet, Catherine; Rosier, Carole; Rosier, Lionel 3 2021 Modeling of shallow aquifers in interaction with overland water. Zbl 1481.76206 Bourel, Christophe; Choquet, Catherine; Rosier, Carole; Tsegmid, Munkhgerel 2 2020 A nonlinear optimization method applied to the hydraulic conductivity identification in unconfined aquifers. Zbl 1425.76051 Mourad, Aya; Rosier, Carole 1 2019 A finite element method for a seawater intrusion problem in unconfined aquifers. Zbl 1403.76055 Abudawia, A.; Mourad, A.; Rodrigues, J. H.; Rosier, C. 1 2018 Uniqueness for cross-diffusion systems issuing from seawater intrusion problems. Zbl 1372.35232 Choquet, Catherine; Li, Ji; Rosier, Carole 6 2017 General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping. Zbl 1373.65067 Cavalcanti, Marcelo M.; Corrêa, Wellington J.; Rosier, Carole; Dias Silva, Flávio R. 2 2017 Derivation of a sharp-diffuse interfaces model for seawater intrusion in a free aquifer. Numerical simulations. Zbl 1397.76064 Choquet, C.; Diédhiou, M. M.; Rosier, C. 11 2016 Numerical analysis for the wave equation with locally nonlinear distributed damping. Zbl 1382.65339 Domingos Cavalcanti, V. N.; Rodrigues, J. H.; Rosier, C. 2 2016 Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion. Zbl 1335.35307 Choquet, C.; Diédhiou, M. M.; Rosier, C. 9 2015 Global existence for seawater intrusion models: comparison between sharp interface and sharp-diffuse interface approaches. Zbl 1422.76170 Choquet, Catherine; Li, Ji; Rosier, Carole 7 2015 Numerical analysis for a seawater intrusion problem in a confined aquifer. Zbl 07313401 Abudawia, A.; Rosier, C. 4 2015 Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: numerical simulations. Zbl 1308.80014 Choquet, Catherine; Rosier, Carole 3 2014 Numerical simulations for a seawater intrusion problem in a free aquifer. Zbl 1285.76041 Marion, P.; Najib, K.; Rosier, C. 2 2014 On the global existence for a degenerate elliptic-parabolic seawater intrusion problem. Zbl 1419.76092 Najib, Khalid; Rosier, Carole 10 2011 Smooth solutions for the motion of a ball in an incompressible perfect fluid. Zbl 1173.35105 Rosier, Carole; Rosier, Lionel 12 2009 Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013 Mikelić, Andro; Rosier, Carole 9 2007 On the global existence of solutions for a non-local problem occurring in statistical mechanics. Zbl 1065.35065 Rosier, Carole; Rosier, Lionel 5 2005 Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064 Mikelic, Andro; Rosier, Carole 6 2004 On the analogy between self-gravitating Brownian particles and bacterial populations. Zbl 1055.92005 Chavanis, Pierre-Henri; Ribot, Magali; Rosier, Carole; Sire, Clément 5 2004 Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles. Zbl 1235.35202 Rosier, Carole; Rosier, Lionel 1 2004 Finite speed propagation in the relaxation of vortex patches. Zbl 1028.76004 Rosier, Carole; Rosier, Lionel 1 2003 Cauchy problem for a parabolic equation modeling the relaxation of selfgraviting stellar systems. (Problème de Cauchy pour une équation parabolique modélisant la relaxation des systèmes stellaires auto-gravitants.) Zbl 0981.35003 Rosier, Carole 4 2001 Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics. Zbl 1162.76339 Rosier, Carole; Rosier, Lionel 7 2000 The modeling of small scales in two-dimensional turbulent flows: A statistical mechanics approach. Zbl 0952.76511 Robert, Raoul; Rosier, Carole 7 1997 Multi-dimensional Riemann problems for linear hyperbolic systems. Zbl 0865.35078 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 5 1996 Multi-dimensional Riemann problems for linear hyperbolic systems. II. Zbl 0921.35090 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 14 1993 Multi-dimensional Riemann problems for linear hyperbolic systems. I. Zbl 0921.35089 Gilquin, Hervé; Laurens, Jérôme; Rosier, Carole 1 1993 A nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0722.76039 Jauberteau, F.; Rosier, C.; Temam, R. 26 1990 The nonlinear Galerkin method in computational fluid dynamics. Zbl 0702.76077 Jauberteau, F.; Rosier, C.; Temam, R. 17 1990 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 17 Rosier, Carole 11 Temam, Roger Meyer 9 Balsara, Dinshaw S. 7 Choquet, Catherine 7 Rosier, Lionel 5 Sueur, Franck 4 Amaziane, Brahim 4 Chavanis, Pierre-Henri 4 Goodrich, Christopher S. 4 Mikelić, Andro 4 Najib, Khalid 3 Cancès, Clément 3 Diédhiou, Moussa Mory 3 Dubois, Thierry 3 Dumbser, Michael 3 Glass, Olivier 3 Jolly, Michael Summerfield 3 Pankratov, Leonid S. 3 Pascal, Frédéric P. 3 Titi, Edriss Saleh 3 Zhang, Jiazhong 2 Al Nazer, Safaa 2 Barsukow, Wasilij 2 Beneš, Michal 2 Biler, Piotr 2 Čanić, Sunčica 2 Debussche, Arnaud 2 Graham, Michael D. 2 Jauberteau, François 2 Jazar, Mustapha 2 Jurak, Mladen 2 Laminie, Jacques 2 Mabuza, Sibusiso 2 Manley, Oscar P. 2 Marion, Martine 2 Medarhri, Ibtissam 2 Mourad, Aya 2 Muha, Boris 2 Nkonga, Boniface 2 Piatnitski, Andrey L. 2 Promislow, Keith Steven 2 Rodrigues, José H. 2 Stańczy, Robert 2 Wang, Yun 2 Zine, Abdelmalek 2 Zurek, Antoine 1 Abgrall, Rémi 1 Abudawia, A. 1 Ahmad, Riaz 1 Ahn, Jaewook 1 Ait Hammou Oulhaj, Ahmed 1 Akram, Maryam 1 Alkhayal, Jana 1 Aslam, Muhammad Nauman 1 Audit, Edouard 1 Averbuch, Amir Z. 1 Balaprakash, Prasanna 1 Barros, Saulo R. M. 1 Basdevant, Claude 1 Berre, Inga 1 Bringedal, Carina 1 Brio, Moysey 1 Broomhead, David S. 1 Bukač, Martina 1 Burby, Joshua W. 1 Cai, Shaohong 1 Cannone, Marco 1 Cárdenas, José W. 1 Cavalcanti, Marcelo Moreira 1 Cavalcanti, Valeria Domingos 1 Chainais-Hillairet, Claire 1 Choi, Jung-Il 1 Codina, Ramon 1 Damázio, Pedro D. 1 Dang, Nannan 1 Dettori, Lucia 1 Devulder, Christophe 1 Djedaidi, N. 1 Dolbeault, Jean 1 Domingos Cavalcanti, Valéria Neves 1 El Ossmani, Mustapha 1 Escalante, Cipriano 1 Farhloul, Mohamed 1 Feng, Peihua 1 Feng, Sebert 1 Fernández Fernández, Francisco Javier 1 Foiaș, Ciprian 1 Gallardo, José M. 1 Garain, Sudip K. 1 García-Archilla, Bosco 1 García-Cervera, Carlos J. 1 Gasmi, Souad 1 Geiser, Jürgen 1 Grote, Marcus J. 1 Guerra, Ignacio A. 1 Gurski, Katharine F. 1 Hassanaly, Malik 1 Houot, Jean Gabriel 1 Hu, Lijun 1 Ijioma, Ekeoma Rowland ...and 85 more Authors all top 5 Cited in 65 Serials 19 Journal of Computational Physics 5 Applicable Analysis 5 Journal of Differential Equations 4 Computer Methods in Applied Mechanics and Engineering 4 Theoretical and Computational Fluid Dynamics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Physica D 3 Applied Numerical Mathematics 3 Physics of Fluids 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 2 Physica A 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Reports 1 Reports on Mathematical Physics 1 Physics of Fluids, A 1 Chaos, Solitons and Fractals 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Computational Geosciences 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Multiscale Modeling & Simulation 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Analysis & PDE 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 25 Fields 84 Fluid mechanics (76-XX) 75 Partial differential equations (35-XX) 41 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 10 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year