Roger LEWANDOWSKI

Full Professor, Institut de Recherche Mathématiques de Rennes UMR CNRS 6625, University Rennes 1; FLUMINANCE Team INRIA; Centre Henri Lebesgue France.

Leader of the "Mathematical Modelling for Mechanics" IRMAR's team (3M team, previously team of mechanics)
Leader of the group GAMNI-SMAI (Groupe pour l'Avancement des Méthodes Numériques de l'Ingénieur)
Local correspondent in Rennes of the SMAI (Société de Mathématiques Appliquées et Industrielles).

Research area : Mathematical fluid dynamic, Partial differential equations, functional analysis.

address : IRMAR , (Institut de Recherche Mathématiques de Rennes), UMR CNRS 6625, Université Rennes1, Campus Beaulieu, 35042 Rennes cedex, France

Tel : 00 (33) 2 23 23 58 64
Tel Secretary : 00 (33) 2 23 23 60 07

E-mail: Roger.Lewandowski at univ-rennes1.fr

Curriculum Vitae (including the list of publications)
Four last years publications
Current Ph D Students

Four last years publications

1. Modeling Error of the $\alpha$-Models of Turbulence in Two dimensions in the Periodic Case (with L. Berselli, A. Dunca and D.-D. Nguyen) Submitted, 2020, Paper on HAL

2. Testing a one-closure equation turbulence model in neutral boundary layers, (with Pranav Chandramouli, Etienne Mémin, Benoît Pinier) Submitted, 2020, Paper on HAL

3. Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis, (with C. Amrouche, L. Berselli and D.-D. Nguyen) Journal of Nonlinear Analysis TMA, Vol 196, 111790, 2020, Paper on arxiv

4. On a one dimensional turbulent boundary layer model, Received for publication in PAFA on Analysis and PDE, 2020, Paper on arxiv

5. Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Result, (with L. Berselli, T. Iliescu, B. Koc) Mathematics in Engineering, Vol 2, No 1, 1-25, 2020, Paper on Math. Ing.

6. On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages, (with L. Berselli) Nonlinearity, Vol 32, No 11, 4579-4608, 2019, Paper on Non

7. Stochastic flow approach to model the mean velocity profile of wall-bounded flows, (with Benoît Pinier, Etienne Mémin, Sylvain Laizet) Physical Review E, 99 , 063101, 2019, Paper on Phys. Rev.

8. Navier-Stokes equations in the whole space with an eddy viscosity, Journal of Mathematical Analysis and Applications, Vol. 478, No 2, 698-742, 2019, Paper on JMAA

9. On the Bardina's model in the whole space, (with L. Berselli) Journal of Mathematical Fluid Mechanics, Vol 20, no 3, pp. 1335-1351, 2018, Paper on JMFM

10. The Kolmogorov-Taylor Law of turbulence : what can rigorously be proved ? Part II, (with B. Pinier) The Foundations of Chaos Revisited: From Poincaré to Recent Advancements Springer, 2016, Chapter

11. The Kolmogorov-Taylor Law of turbulence : what can rigorously be proved ? Handbook of applications of chaos theory Taylor and Francis, 2016, Chapter

12. Long time turbulence model deduced from the Navier-Stokes Equations, Chinese Annals of Mathematics, Serie B, Vol 36, No. 5, pp. 883-894, 2015, Article

13. Mathematical and numerical foundations of turbulence models and applications, (with T. Chacon), Birkhäuser's Modeling and Simulation in Science, Engineering and Technology series, Springer, New-York, 2014. ISBN 978-1-4939-0454-9 (519 pages), Book.

14. Error estimates in Approximate Deconvolution Models (with A. Dunca), Comm. Math. Sc., Vol 12, No 4, pp. 757-778, 2014, Article

15. A Variational Finite Element Model for Large-Eddy Simulations of Turbulent Flows (with T. Chacon), Chinese Annals of Mathematics Ser. B, Vol 34, No 5, 667-682, 2013. Article

16. Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models (with L. Berselli and D. Catania), Journal of Mathematical Analysis and Applications, Vol. 401, 864-880, 2013, Article

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Current Ph D Students
1. Ali Mohamed Houmed ,
Email : alimeduniv at gmail.com
Subject of the Thesis : Regular and non regular solutions of the Navier-Stokes equations in the whole space with an eddy viscosity
Beginning of the thesis : March 2019.

2. Dinh-Duong Nguyen ,
Email : nguyendinhduong.math.khtn at gmail.com
Subject of the Thesis : Theoretical and numerical aspects of the coupling of the ocean to the atmosphere
Beginning of the thesis : October 2017.

3. Benoit Pinier ,
Email : benoit.pinier at inria.fr
Subject of the Thesis : Application of the theory of similarities in turbulence to the ocean-atmosphere interface
Beginning of the thesis : October 2014. Thesis successfully defended Februar 12th, 2019.

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