Laboratory of Fluid Dynamics

Room 108 (first floor)

Instituto Nacional de Matemática Pura e Aplicada - IMPA

Estrada Dona Castorina 110, Rio de Janeiro 22460-320 Brazil

Tel.: +55 21 2529 5070

Fax: +55 21 2529 5075


Brazilian Chapter of InterPore

The International Society for Porous Media

How to get to IMPA

Wave-particle dynamics in hydrodynamic quantum analogues

Expositor: André Nachbin - IMPA
Qui 04 ago 2022, 13:30 - SALA 224Seminário de Matemática Aplicada e Computacional

Resumo: The groundbreaking discovery by Yves Couder and Emmanuel Fort (Paris, 2005) led to many works on pilot-wave hydrodynamics. Pilot-wave hydrodynamics originates from bouncing droplets of silicon oil that can levitate over a vibrating bath of the same fluid and be self-propelled by the Faraday waves it generates. Following Couder and Fort, these walking droplets are viewed as a hydrodynamic quantum analogue (HQA) of a wave-particle system. We have deduced the first wave-droplet dynamical system which, through scientific computing, has revealed several new dynamical properties not imagined possible for a classical mechanical system. A series of new articles have originated recently from Nachbin (Chaos 2018) where it was shown for the first time that two oscillators can be correlated at a distance, without any explicit coupling between them. An overview of these recents results will be presented, including those of a recent Nature Comm. Physics paper (June 2022) where we show the cooperative tunneling of two particles.





The 5th-Interpore conference of the Brazilian chapter, will be held from 1 to 2 August 2022 in a fully virtual format with scientific program focusing on advances in the research, methods, and theory of Porous Media in close connection to the topics: Green World, Smart Materials, Oil Science and Synchrotron light, Biosciences, Biorenewables, Nanotechnology.





Ph.D. Student: José Manuel Escorcia Tafur

Thesis: Post-Blowup Dynamics for the Nonlinear Schrödinger Equation

José Manuel has been working during his doctoral studies under the supervision of Professor Alexei A. Mailybaev.


Monday Nov. 29, 2021 12:30 PM (RJ)




of the course "An Introduction to Stochastic Differential Equations with applications to Fluid Dynamics" by Theodore Drivas and Simon Thalabard.

January-February 2019:

Mon, Wed, Fri 10-12 a.m. at room 345


Presentation slides

Workshop program

06/aug, 13:00, room 228: Group meeting: talks by Ciro Campolina and Vitor Sudbrack. 

Thesis Defense of Luis Fernando Lozano: "Diffusive effects in Riemann solutions for three phase flow in porous media". 
27/07/2018 - 13:30 at room 228.

Seminar (11/07): Marco Martins Afonso (Centro de Matemática da Universidade do Porto) "Renormalized transport of inertial particles", 11:00, room 228.

Seminar (26/06): Luis Fernando Lozano Guerrero (IMPA) "Estudo do efeito de difusão (simplificada) em sistemas não estritamente hiperbólicos de leis de conservação", 13:30 at room 347.

Seminar (06/06): Carlos Galeano-Ríos ( Math. Dept., University of Bath, England) "Ratcheting pairs of droplets", 11:00 at room 333.

Lectures at IMPA by Prof. Uriel Frisch, May 11-17.

Seminar (26/03): John Bush (MIT - Dep. of Mathematics) 
"Hydrodynamic quantum analogs", 11:00 at room 228.

The paper by Prof. Mailybaev showing that light stops at exceptional points is  featured in newspapers and science news articles: NewsweekThe Independent, Daily Mail,, ScienceAlert.
IMPA's press release (portuguese) may be read here.

Credit: pixabay

Group meeting: Hugo Saraiva, Turbulence reading course
- 20/fev, 10:30, room 224
- 06/feb, 10:30, room 224
- 30/jan, 10:30, room 224
- 23/jan, 10:30, room 224

Seminar: Vikas Krishnamurthy (UFPe), Complex analysis for compressible vortex dynamics (16/jan, 15:30, room 333)
Group meeting: Hugo Saraiva, Turbulence reading course (09/jan, 10:30, room 345)

(12/2017) Tribute to Clarice Lispector and Leopoldo Nachbin

Group meeting: Hugo Saraiva, Theory for Lattice-Boltzmann Method for two-phase flows - part 2 (07/dec, 13:30, room 333)

Group meeting: Hugo Saraiva, Theory for Lattice-Boltzmann Method for two-phase flows - part 1 (30/nov, 13:30, room 333)

(09/2017) Article about the career and life of professor Dan Marchesin, our Laboratory's Head and founder (English / Portuguese)

Videos: talks of the Workshop on Conservation Laws and Applications, celebrating the 70th birthday of Dan Marchesin

  70th birthday of Dan Marchesin

 Interview: O Globo (05/2017)

Seminar: Wanderson Lambert, Teoria matemática de fluxo bifásico em meios porosos com diversos componentes químicos (24/mar, 10:30, room 236)

Group meeting: Hugo Saraiva, Entropy (24/mar, 13:30, room 236)

Group meeting: Hugo Saraiva, Boltzmann equation (9/mar, 13:30, room 345)

 Interview for Galileu (03/2017).

Videos: IMPA-Bath Workshop in Mathematics


 Interview for Globo (02/2017)

Videos: Workshop on Turbulent Dissipation, Mixing and Predictability. January 9 - 13, 2017, IPAM, Los Angeles

Videos: 2nd IMPA-InterPore Conference on Porous Media