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

Responsible of the IRMAR's mechanics team.

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

Curriculum Vitae

Main Recent Publications
Main Recent Talks (new section)
Ph D Students

Main Recent Publications

  1. Navier-Stokes equations in the whole space with an eddy viscosity, Submitted, 2017, Paper on arxiv

  2. 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

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

  4. 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

  5. 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.

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

  7. 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

  8. 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

  9. On Bardina and Approximate Deconvolution Models, Séminaire Laurent-Schwarz -- EDP et applications, Centre de mathématiques Laurent-Schwarz, Ecole Polytechnique, 2011-2012, Exposé numéro XXXVI, 1-12, Article

  10. Convergence of approximate deconvolution models to the mean Navier-Stokes Equations (with L. Berselli), Annales de l'Institut Henri Poincare (C), Non Linear Analysis, Vol 29, No 2, 171-198, 2012 Article

  11. On evolutionary Navier-Stokes-Fourier type system in three spatial dimensions (with M. Bulícek and J. Málek), Commentationes Mathematicae Universitatis Carolinae, 52, Vol 1, 89-114, 2011, Article

  12. HydroPeche: a way to improve energy efficiency of fishing devices (with Grégory Germain, Philippe Druault, Benoit Vincent, Daniel Priour, Jean-Yves Billard), First International Symposium on Fishing Vessel Energy Efficiency E-Fishing, Vigo, Spain, May 2010 Article

  13. Numerical modeling of algebraic closure models of oceanic turbulent mixing layers (with A.-C Bennis, T. Chacon and M. Gomez), Mathematical Modelling and Numerical Analysis, vol 4, 1255-1277, 2010, Article

  14. On a Continuous Deconvolution Equation for Turbulence Models, Lecture Notes of Necas Center for Mathematical Modeling, Vol 5, 69-102, 2009, Article

  15. Simulations de l'écoulement turbulent marin avec un modèle de déconvolution (with A.-C. Bennis and E. Titi), Comptes Rendus de l'Académie des Sciences de Paris", Série I, No 347, 445-450, 2009, Article

  16. Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations (with C. Bernardi, T. Chacon and F. Hecht), Math. Mod. and Meth. in App. Sc., Vol 19, No 7, 1139-1183, 2009, Article

  17. Attractors for a deconvolution model of turbulence (with Y. Préaux), Applied Maths Letters, No 22, 642-645, 2009, Article

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Main Recent Talks

  1. The Kolmogorov Law of turbulence, What can rigorously be proved ? -5/3 Part 2, Chaos 2015, 26-29 May 2015, Paris (France), Download here the Slides

  2. The Kolmogorov Law of turbulence, What can rigorously be proved ? 2/3 Part 1, Workshop on numerical approximations of PDEs, 20-22 April 2015, Malaga (Spain) Download here the Slides

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Ph D Students
  1. Benoit Pinier, Subject of the Thesis : Coupled Ocean-Atmosphere Dynamics
    Beginning of the thesis : October 2014.

  2. Hani ALI,
    Title of the Thesis : Mathematical study of some turbulence models
    PhD Thesis Defended December 2011. Succesfull, with honors.
    Current position: natural risks modeller, Axa Insurance, Paris, France.

  3. Anne-Claire BENNIS,
    Title of the Thesis : Turbulence models for the oceanic boundary layer
    PhD Thesis Defended November 2008. Succesfull, with honors.
    Current position: associate professor, University of Caen, France.

  4. Géraldine PICHOT,
    Title of the Thesis : Modelization and numerical analysis of coupling hydrodynamic net-flow in a cod end net
    PhD Thesis Defended December 2007. Succesfull, with honors.
    Current position: tenure researcher INRIA Rennes.

  5. Julien LEDERER,
    Title of the Thesis : Sustainability, climatic risks and analysis of RANS equations
    PhD Thesis Defended January 31th, 2006, succesfull, with honors.
    Current position: financial analyst, Insight Investment, London, United Kingdom.

  6. Ronan GUENANFF,
    Title of the Thesis : Non stationary coupling Navier-Stokes/Euler for the generation and radiations of aerodynamic noises
    PhD Thesis Defended December 2004, succesfull, with honors.
    Current situation : math teacher in College.

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