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Analysis of moving incompressible fluid interfaces

Total Cost €


EC-Contrib. €






Project "FLUID-INTERFACE" data sheet

The following table provides information about the project.


Organization address
address: CALLE S. FERNANDO 4
postcode: 41004

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Spain [ES]
 Project website
 Total cost 1˙106˙936 €
 EC max contribution 1˙106˙936 € (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  2021-08-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSIDAD DE SEVILLA ES (SEVILLA) coordinator 1˙106˙936.00


 Project objective

The research of this proposal is focused on solving problems that involve the evolution of fluid interfaces. The project will investigate the dynamics of free boundaries arising between incompressible fluids of different nature. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for all time. These contour dynamics issues are governed by fundamental fluid mechanics equations such as the Euler, Navier-Stokes, Darcy and quasi-geostrophic systems. They model important problems such as water waves, viscous waves, Muskat, interface Hele-Shaw and SQG sharp front evolution. All these contour dynamics frameworks will be studied with emphasis on singularity formation and global existence results, not only for their importance in mathematical physics, but also for their mathematical interest. This presents huge challenges which will in particular require the use of different tools and methods from several areas of mathematics. A new technique, introduced to the field by the Principal Investigator, has already enabled the analysis of several singularity formations for the water waves and Muskat problems, as well as to obtain global existence results for Muskat. The main goal of this proposal is to develop upon this work, going far beyond the state of the art in these contour dynamics problems for incompressible fluids.


year authors and title journal last update
List of publications.
2017 P. Constantin, F. Gancedo, R. Shvydkoy and V. Vicol
Global regularity for 2D Muskat equations with finite slope
published pages: , ISSN: 0294-1449, DOI:
Ann. Inst. H. Poincaré Anal. Non Linéaire 2020-01-24
2017 Gancedo, Francisco; Garcia-Juarez, Eduardo
Global regularity for 2D Boussinesq temperature patches with no diffusion
published pages: , ISSN: 2199-2576, DOI:
Annals fo PDE 1 2020-01-24
2018 Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco
Uniqueness for SQG patch solutions
published pages: , ISSN: 2330-0000, DOI:
Trans. Amer. Math. Soc. Ser. B 1 2020-01-24
2017 Gancedo, Francisco; Garcia-Juarez, Eduardo
Global regularity of 2D density patches for inhomogeneous Navier-Stokes
published pages: , ISSN: 0003-9527, DOI:
Arch. Ration. Mech. Anal., 1 2020-01-24
2015 A. Castro, D. Córdoba, C. Fefferman, F. Gancedo and J. Gómez-Serrano
Splash singularities for the free boundary Navier-Stokes equations
published pages: , ISSN: 2331-8422, DOI:
ArXiv 2020-01-24
2017 Gancedo, Francisco; Garcia-Juarez, Eduardo; Patel, Neel; Strain, Robert M.
On The Muskat Problem With Viscosity Jump: Global In Time Results
published pages: , ISSN: , DOI:
1 2020-01-24

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