UFR Mathématiques Informatique Mécanique
Mes domaines de recherche :
- Théorie de l’homogénéisation
- Analyse asymptotique dans des domaines de faible épaisseur
- homogénéisation périodique
- écoulement non linéaire
- domaines de faible épaisseur
IECL – Site de Metz
3, rue Augustin Fresnel
Technopole Metz
57000 Metz
Articles dans des revues avec comité de lecture
R.BUNOIU, K.RAMDANI, C.TIMOFTE, Homogenization of a Transmission Problem with Sign-changing Coefficients and Interfacial Flux Jump, Communications in Mathematical Sciences, accepté pour publication, 2023. https://hal.science/hal-03712444v2
R.BUNOIU, A.GAUDIELLO, On the Bingham Flow in a Thin Y-like Shaped Structure, Journal of Mathematical Fluid Mechanics, 24 : 20, 1-17, 2022. https://rdcu.be/cF0uM
R.BUNOIU, K.RAMDANI, C.TIMOFTE, T-coercivity for the Homogenization of Sign-changing Coefficients Scalar Problems with Extreme Contrasts, Mathematical Reports, Romanian Academy of Sciences, Vol. 24(74), No. 1-2, 113-123, 2022. https://hal.archives-ouvertes.fr/hal-03481978v1
R.BUNOIU, C.TIMOFTE, Upscaling of a Double Porosity Problem with Jumps in Thin Porous Media, Applicable Analysis, Vol. 101, No. 9, 3497–3514, 2022. https://doi.org/10.1080/00036811.2020.1854232
R.BUNOIU, K.RAMDANI, C.TIMOFTE, T-coercivity for the Asymptotic Analysis of Scalar Problems with Sign-changing Coefficients in Thin Periodic Domains, Electron. J. Differential Equations, Vol. 2021, No. 59, 1-22, 2021. https://halshs.archives-ouvertes.fr/IECN/hal-02974043v1
R.BUNOIU, L.CHESNEL, K.RAMDANI, M.RIHANI, Homogenization of Maxwell’s Equations and Related Scalar Problems with Sign-Changing Coefficients, Annales de la Faculté des Sciences de Toulouse : Mathématiques, Ser. 6, 30 (5), 1075-1119, 2021. https://hal.inria.fr/hal-024213
R.BUNOIU, G.CARDONE, R.KENGNE, J.L.WOUKENG, Homogenization of 2D Cahn-Hilliard-Navier-Stokes System, Journal of Elliptic and Parabolic Equations, Vol. 6, No. 1, 377–408, 2020. arXiv:2005.10209; https://doi.org/10.1007/s41808-020-00074-w.
M.ANGUIANO, R.BUNOIU, Homogenization of Bingham Flow in Thin Porous Media, Networks and Heterogeneous Media, Vol. 15, No. 1, 87-110, 2020. https://hal.archives-ouvertes.fr/hal-02059914
R.BUNOIU, R.PRECUP, Localization and Multiplicity in Nonlinear Homogenization Problems, Advances in Nonlinear Analysis, Vol. 9, No. 1, 292–304, 2020. https://doi.org/10.1515/anona-2020-0001
R.BUNOIU, C.TIMOFTE, Upscaling of a Diffusion Problem with Interfacial Flux Jump Leading to a Modified Barenblatt Model, ZAMM, Vol. 99, No. 2, 2019. https://onlinelibrary.wiley.com/doi/full/10.1002/zamm.201800018
R.BUNOIU, C.TIMOFTE, Upscaling of a Parabolic System with a Large Nonlinear Surface Reaction Term, Journal of Mathematical Analysis and Applications, Vol. 469, No. 2, 549-567, 2019. http://10.1016/j.jmaa.2018.09.028
R.BUNOIU, A.GAUDIELLO, A.LEOPARDI, Asymptotic Analysis of a Bingham Fluid in a Thin T-like Shaped Structure, Journal de Mathématiques Pures et Appliquées, 123, 148-166, 2019. https://hal.archives-ouvertes.fr/hal-03264707
R.BUNOIU, G.CARDONE, S.NAZAROV, Scalar Problems in Junctions of Rods and a Plate.II Self-adjoint Extensions and Simulation Models, M2AN – Mathematical Modelling and Numerical Analysis, Vol. 52, 481-508, 2018. https://arxiv.org/abs/1710.02708
R.BUNOIU, C.TIMOFTE, On the Homogenization of a Two-conductivity Problem with Flux Jump, Communications in Mathematical Sciences, Vol. 15, No. 3, 745-763,2017. https://hal.inria.fr/hal-01528074
R.BUNOIU, R.PRECUP, C.VARGA, Multiple Positive Standing Wave Solutions for Schrödinger Equations with Oscillating State-dependent Potentials, Communications on Pure and Applied Analysis, Vol. 16, No. 3, 954-972, 2017. preprint
R.BUNOIU, G.CARDONE, Bingham Flow in Porous Media with Obstacles of Different Size, Mathematical Methods in the Applied Sciences (MMAS), Vol. 40, No. 12, 4514-4528, 2017. https://hal.archives-ouvertes.fr/hal-03264679
R.BUNOIU, P.DONATO, Unfolding Homogenization in Doubly Periodic Media and Applications, Applicable Analysis, Vol. 96, No. 13, 2218-2235, 2017. http://www.tandfonline.com/doi/abs/10.1080/00036811.2016.1209744
R.BUNOIU, C.TIMOFTE, Homogenization of a Thermal Problem with Flux Jump, Networks and Heterogeneous Media, Vol. 11, No. 4, 545-562, 2016. https://hal.inria.fr/hal-01272936/
R.BUNOIU, K.RAMDANI, Homogenization of Materials with Sign Changing Coefficients, Communications in Mathematical Sciences, Vol. 14, No. 4 , 1137-1154, 2016. https://hal.inria.fr/hal-01162225/document
R.BUNOIU, R.PRECUP, Vectorial Approach to Coupled Nonlinear Schrödinger Systems under Nonlocal Cauchy Conditions, Applicable Analysis Vol. 95, No. 4, 731-747, 2016. preprint
I.BELTITA, R.BUNOIU, Inverse Scattering for the 1D-Helmholtz Equation, Complex Analysis and Operator Theory, 10(4), 639-666, 2016. https://hal.inria.fr/hal-01284311
R.BUNOIU, Ph.G.CIARLET, C.MARDARE, Existence Theorem for a Nonlinear Shell Model, Journal of Elliptic and Parabolic Equations, No. 1, 31-48, 2015. http://www.orthogonal-editions.com/JEPEV1/3.pdf
D.POLISEVSKI, R.SCHILTZ-BUNOIU, A.STANESCU, Homogenization Cases of Heat Transfer in Structures with Interfacial Barriers, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 58 (106), No. 4, 2015.
R.BUNOIU, G.CARDONE, S.A.NAZAROV, Scalar Boundary Value Problems on Junctions of Thin Rods and Plates. I. Asymptotic Analysis and Error Estimates, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 48, 1495-1528, 2014. arXiv/1403.6029
D.BORISOV, R.BUNOIU, G.CARDONE, Waveguide with Non-periodically Alternating Dirichlet and Robin Conditions: Homogenization and Asymptotics, Z. Angew. Math. Phys. (ZAMP), 64, No. 3, 439-472, 2013. arXiv/1203.0210
D.BORISOV, R.BUNOIU, G.CARDONE, Homogenization and Asymptotics for a Waveguide with an Infinite Number of Closely Located Small Windows, Journal of Mathematical Sciences, 176, No. 6, 774-785, 2011.
R.BUNOIU, G.CARDONE, T.SUSLINA, Spectral Approach to Homogenization of an Elliptic Operator Periodic in Some Directions, Mathematical Methods in the Applied Sciences (MMAS) 34, No. 9, 1075-1096, 2011. arXiv/0910.0446
D.BORISOV, R.BUNOIU, G.CARDONE, On a Waveguide with Frequently Alternating Boundary Conditions: Homogenized Neumann Condition, Ann. Henri Poincaré 11, No. 8, 1591-1627, 2010. https://arxiv.org/abs/1010.2072
D.POLISEVSKI, R.SCHILTZ-BUNOIU, Heat Conduction Through a First-order Jump Interface, New Trends in Continuum Mechanics (M. Mihailescu-Suliciu ed.), Theta Series in Advanced Mathematics, 225-230, 2005.
D.POLISEVSKI, R.SCHILTZ-BUNOIU, Diffusion in an Intermediate Model of Fractured Porous Media, Buletin Scientifique, Mathématiques et Informatique, No. 10, 99-106, 2004.
R.BUNOIU, S.KESAVAN, Asymptotic Behaviour of a Bingham Fluid in Thin Layers, Journal of Mathematical Analysis and Applications, 293/2, 405-418,2004. https://hal.archives-ouvertes.fr/hal-03518316
R.BUNOIU, S.KESAVAN, Fluide de Bingham dans une couche mince, Annals of the University of Craiova, Math. Comp. Sci. series 30, 1-9, 2003. https://hal.archives-ouvertes.fr/hal-03518320
R.BUNOIU, Nonlinear Viscous Flow through a Thin Slab in the Lubrication Case, Revue Roum. Math. Pures et Appliquées, Tome 45, No. 4, 577-591, 2000.
R.BUNOIU, J.SAINT JEAN PAULIN, Linear Flow in Porous Media with Double Periodicity, Portugaliae Mathematica, Vol. 56, Fasc. 2, 221-238, 1999.
Notes aux CRAS
D.BORISOV, R.BUNOIU, G.CARDONE, On a Waveguide with an Infinite Number of Small Windows, C. R. Math. Acad. Sci. Paris, Ser. I 349, 53-56, 2011.
R.BUNOIU, J.SAINT JEAN PAULIN, Fluide à viscosité non linéaire dans un domaine de faible épaisseur dans le cas de lubrification, C. R. Acad. Sci. Paris, t. 323, Série I, 1097-1102, 1996.
Actes de colloque avec comité de lecture
R.BUNOIU, C.TIMOFTE, Asymptotic Analysis for a Diffusion Problem in Thin Filtering Materials, Romanian Reports in Physics, Vol. 74, No. 1, 2022. http://www.rrp.infim.ro/IP/AP587.pdf
M.ANGUIANO, R.BUNOIU, On the flow of a viscoplastic fluid in a thin periodic domain, Integral Methods in Science and Engineering, Springer Nature Switzerland, 15-24, 2019. https://hal.archives-ouvertes.fr/hal-03264746
R.BUNOIU, C.TIMOFTE, Diffusion Problems in Composite Media with Interfacial Flux Jump, Romanian Reports in Physics,Vol. 40, No. 4, 2018. http://www.rrp.infim.ro/inpress.html
R.BUNOIU, G.CARDONE, C.PERUGIA, Unfolding Method for the Homogenization of Bingham Flow, in Modelling and Simulation in Fluid Dynamics in Porous Media, Series: Springer Proceedings in Mathematics & Statistics, Vol. 28, 109-123, 2013. https://hal.inria.fr/hal-01283636
Mémoire d’habilitation à diriger les recherches
R.BUNOIU, Analyse asymptotique en homogénéisation périodique et dans des domaines minces, 2022. https://hal.univ-lorraine.fr/tel-03643910v1
Thèse de doctorat
R.BUNOIU, Sur quelques problèmes mathématiques en mécanique des fluides, 1997.
Rapport interne
R.BUNOIU, Sur les caractéristiques hydrauliques d’un module de stockage, rapport interne CEA, 1996.
Membre élue du conseil de l’UFR MIM
Membre de la commission du personnel de l’IECL
Membre de la commission parité de l’IECL
Membre du projet CNRS HAIReM – Méthode d’IA hybride pour la résolution de problèmes mathématiques issus de la physique