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Fluids & Solids courses

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Fluids & Solids courses

The 4 following courses of the Master Fluids & Solids, which are taught in English, are opened to any people from the Fédération (LMA, M2P2, IRPHÉ, IUSTI) upon simple registration by email (see details of the courses below).

Machine learning for Mechanics

- Contact : Christophe ELOY (
- Christophe ELOY, Djaffar BOUSSAA, Stefania SARNO
- 8 x 2 hours of lectures + 12 x 2 hours of practical work on computer
- Wednesdays 8h30am to 12h30am or 2pm to 6pm, from Sept. 30th to Jan. 13th — Building Joliot Curie (J, next to IUSTI)

This course introduces the basic principles of machine learning and their applications. Lectures will be combined with hands-on programming sessions so that students can learn how to apply machine learning algorithms to mechanical problems.

  • Optimization methods
  • Neural networks
  • Supervised learning
  • Unsupervised learning
  • Reinforcement learning

Trends in Mechanics

- Contact : Denis MARTINAND (
- Denis MARTINAND, Michael LE BARS, Benjamin FAVIER
- 4 x 4 hours of lectures + 2 x 4 hours of practical work + 2 x 4 hours of tutored seminar and workshop
- Wednesdays or thursdays 8h30am to 12h30am, from Sept. 24th to Jan. 15th — Building Joliot Curie (J, next to IUSTI)

Understanding the dynamics of planetary and stellar fluid layers (including atmospheres, oceans, iron cores, convective and radiative zones in stars) requires understanding the fundamental fluid mechanics of flows involving rotation, buoyancy, waves, instabilities and turbulence at typical scales well beyond our day-to-day experience. Besides, the main obstacle to quantitative modeling is the extreme character of the involved dimensionless parameters. Relevant studies thus rely on the principle of dynamical similitude and scaling laws, supported by theory, experiments and numerical simulations. Research in geo- and astrophysical fluid dynamics is thus intrinsically interdisciplinary and multi-method : the objective of this course is thus to provide participants with a global introduction and an up-to-date overview of relevant studies, fully addressing the wide range of involved disciplines and methods.

The course aims at showing current research topics in mechanics and will be organised in three parts. The first part will consist in 4 regular lectures introducing the basic concepts. The second part will take place in the lab, with 2 experimental and numerical practical works. The last part will consist in 2 seminars by specialists from various fields (non-linear physics, planetology, atmospheric sciences) with a thorough preparation in class before.

Bio-Inspired Engineering

- Contact : Yoel FORTERRE (
- Yoël FORTERRE, Christophe Eloy, Stéphane Viollet, Joël MARTHELOT
- 4 x 6 hours of lectures (+ 1 supervised RD project of 16 hours)
- Tuesdays 2pm to 6pm, from Oct. 6th to Jan. 26th — Building Joliot Curie (J, next to IUSTI)

« Studying biological processes with an engineering/physics perspective to develop new bio-inspired strategies »

  • Swimming and fish-like locomotion
  • Bio-inspired morphing of soft solids with mechanical instabilities
  • Bio-inspired sensors
  • Moving without muscle : lesson from plant’s

Capillarity and Mixing : scaling, similarity & self-organization

- Contact : Emmanuel VILLERMAUX (
- 20 x 2 hours of lectures
- Tuesdays 8h30am to 12h30am, from Sept. 29th to Dec. 8th — Building Joliot Curie (J, next to IUSTI)

This course discusses some fundamental principles ruling the continuum, with a particular emphasis on Capillary phenomena (which explain why cohesion of matter bridges the small with the large through surface tension), and Mixing (which explains how, and how fast, irreversibility occurs as a consequence of molecular diffusion). These topics are the opportunity to study various scaling laws, similarity theories, and self-organization phenomena encountered from the molecular to planetary scales. The course is illustrated with many laboratory experiments from ongoing research.