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
- Continuous boundary condition at the interface for two coupled fluids, (with F. Legeais), submitted 2022,
Paper on HAL
- 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
- 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
-
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
-
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
- On a one dimensional turbulent boundary layer model, Pure Appl. Funct. Anal. Vol 5, no. 5, 1115-1129, 2020,
Paper on arxiv
- 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
- 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.
- 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
- 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.
- 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
- 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
- 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
- The Kolmogorov-Taylor Law of turbulence : what can rigorously be proved ?
Handbook of applications of chaos theory Taylor and Francis, 2016, Chapter
- 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
- 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.
- Error estimates in Approximate Deconvolution Models
(with A. Dunca),
Comm. Math. Sc., Vol 12, No 4, pp. 757-778, 2014, Article
- 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
- 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
- François Legeais ,
Email :
Francois.Legeais at univ-rennes1.fr
Subject of the Thesis : Turbulent ocean-atmosphere mixing layer
Beginning of the thesis : October 2021.
- 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.
- 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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