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Roger LEWANDOWSKI







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

Member of the board of directors of Rennes 1 University

Member of the of the board of directors of the SMAI (Société de Mathématiques Appliquées et Industrielles) and local correspondent in Rennes

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


The book
Analyse mathématique et océanographie
is now avaible on HAL , in its original form, as published in 1997.


Four last years publications

  1. Continuous boundary condition at the interface for two coupled fluids, (with F. Legeais), submitted 2022, Paper on HAL

  2. On the existence of weak solutions for a family of unsteady rotational Smagorinsky models, (with Luigi C. Berselli, Alex Kaltenbach, Michael Ruzicka) Received for publication in Pure Appl. Funct. Anal., 2022 Paper on Arxiv

  3. Testing a one-closure equation turbulence model in neutral boundary layers, (with Pranav Chandramouli, Etienne Mémin, Benoît Pinier) Computer Methods in Applied Mechanics and Engineering, 376, 113662, 2021 Paper on HAL

  4. Rotational forms of Large Eddy Simulation turbulence models: modeling and mathematical theory (with L. Berselli, and D.-D. Nguyen) Chinese Annals of Maths, serie B, 42(1), 1-24, 2021, Paper on HAL

  5. Modeling Error of the $\alpha$-Models of Turbulence in Two dimensions in the Periodic Case (with L. Berselli, A. Dunca and D.-D. Nguyen) on line in Discrete and Continuous Dynamical Systems Series B, Vol. 26, no. 9, 4613-4643, 2021 Paper on DCDS-B

  6. On a one dimensional turbulent boundary layer model, Pure Appl. Funct. Anal. Vol 5, no. 5, 1115-1129, 2020, Paper on arxiv

  7. 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

  8. 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.

  9. 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

  10. 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.

  11. 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

  12. 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

  13. 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

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

  15. 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

  16. 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.

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

  18. 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

  19. 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. François Legeais ,
    Email : Francois.Legeais at univ-rennes1.fr
    Subject of the Thesis : Turbulent ocean-atmosphere mixing layer
    Beginning of the thesis : October 2021.

  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. Thesis successfully defended October 1st, 2020.

  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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