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BLOC SIGNED

Mathematical study of Boundary Layers in Oceanic Motions

Total Cost €

0

EC-Contrib. €

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Partnership

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Project "BLOC" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 

There are not information about this coordinator. Please contact Fabio for more information, thanks.

 Coordinator Country France [FR]
 Project website https://www.ljll.math.upmc.fr/
 Total cost 1˙267˙500 €
 EC max contribution 1˙267˙500 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-STG
 Funding Scheme ERC-STG
 Starting year 2015
 Duration (year-month-day) from 2015-09-01   to  2020-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    SORBONNE UNIVERSITE FR (PARIS) coordinator 1˙267˙500.00
2    UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 FR (PARIS) coordinator 0.00

Map

 Project objective

Boundary layer theory is a large component of fluid dynamics. It is ubiquitous in Oceanography, where boundary layer currents, such as the Gulf Stream, play an important role in the global circulation. Comprehending the underlying mechanisms in the formation of boundary layers is therefore crucial for applications. However, the treatment of boundary layers in ocean dynamics remains poorly understood at a theoretical level, due to the variety and complexity of the forces at stake.

The goal of this project is to develop several tools to bridge the gap between the mathematical state of the art and the physical reality of oceanic motion. There are four points on which we will mainly focus: degeneracy issues, including the treatment Stewartson boundary layers near the equator; rough boundaries (meaning boundaries with small amplitude and high frequency variations); the inclusion of the advection term in the construction of stationary boundary layers; and the linear and nonlinear stability of the boundary layers. We will address separately Ekman layers and western boundary layers, since they are ruled by equations whose mathematical behaviour is very different.

This project will allow us to have a better understanding of small scale phenomena in fluid mechanics, and in particular of the inviscid limit of incompressible fluids.

The team will be composed of the PI, two PhD students and three two-year postdocs over the whole period. We will also rely on the historical expertise of the host institution on fluid mechanics and asymptotic methods.

 Publications

year authors and title journal last update
List of publications.
2019 Dong, Shijie
Stability of a wave and Klein-Gordon system with strong coupling
published pages: , ISSN: , DOI:
2020-04-24
2019 Bianchini, Roberta
Relative entropy in diffusive relaxation for a class of discrete velocities BGK models
published pages: , ISSN: , DOI:
2020-04-24
2020 Gérard-Varet, David and Mecherbet, Amina
On the correction to Einstein’s formula for the effective viscosity
published pages: , ISSN: , DOI:
2020-04-24
2019 Jean Rax
Mathematical study of the equatorial Ekman boundary layer
published pages: , ISSN: 0044-2275, DOI: 10.1007/s00033-019-1209-9
Zeitschrift für angewandte Mathematik und Physik 70/6 2020-04-24
2020 Bianchini, Roberta and Dalibard, Anne-Laure
One-dimensional turbulence with Burgers
published pages: , ISSN: , DOI:
2020-04-24
2020 Mecherbet, Amina
A model for suspension of clusters of particle pairs
published pages: , ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-02171615/documen 1 2020-04-24
2020 Bianchini, Roberta and Staffilani, Gigliola
Revisitation of a Tartar\'s result on a semilinear hyperbolic system with null condition
published pages: , ISSN: , DOI:
2020-04-24
2020 Dalibard, Anne-Laure; Perrin, Charlotte
Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model
published pages: , ISSN: 1539-6746, DOI:
https://hal.archives-ouvertes.fr/hal-02010404 1 2020-04-24
2020 Shijie Dong
Stability of a class of semilinear waves in 2 + 1 dimension under null condition
published pages: , ISSN: , DOI:
2020-04-24
2020 Bianchini, Roberta; Dalibard, Anne-Laure; Saint-Raymond, Laure
Near-critical reflection of internal waves
published pages: , ISSN: 2157-5045, DOI:
Analysis & PDE, , In press 1 2020-04-24
2015 Dalibard, Anne-Laure; Saint-Raymond, Laure
Mathematical study of degenerate boundary layers
published pages: , ISSN: 0065-9266, DOI:
Memoirs of the American Mathematical Society 2019-05-27
2016 Maekawa, Yasunori; Paddick, Matthew
On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates
published pages: , ISSN: , DOI:
Mathematical Analysis in Fluid and Gas Dynamics 1 2019-05-27
2017 Dalibard, Anne-Laure; Dietert, Helge; Gérard-Varet, David; Marbach, Frédéric
High frequency analysis of the unsteady Interactive Boundary Layer model
published pages: 4203–4245, ISSN: 0036-1410, DOI:
SIAM Journal on Mathematical Analysis 50 2019-05-28
2018 Anne-Laure Dalibard ; Nader Masmoudi
Separation for the stationary Prandtl equation
published pages: , ISSN: , DOI:
2019-05-28
2016 Dalibard, Anne-Laure; Paddick, Matthew
An existence result for the steady rotating Prandtl equation
published pages: , ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-01289277 1 2019-05-27
2017 Dalibard, Anne-Laure; Gérard-Varet, David
Nonlinear boundary layers for rotating fluids
published pages: , ISSN: 2157-5045, DOI:
Analysis & PDE 2019-05-27

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