Non-local dynamics in incompressible fluids

Project Information

NONFLU

Grant agreement ID: 788250

DOI

10.3030/788250

Project closed

EC signature date 29 May 2018

Start date 1 September 2018

End date 31 August 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 779 369,00

EU contribution

€ 1 779 369,00

Coordinated by

AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Spain

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (16)

The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation

Author(s): Ángel Castro, Diego Córdoba, Fan Zheng
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2020.12.005

Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion

Author(s): Diego Córdoba, Luis Martínez-Zoroa
Published in: Annals of PDE, Issue 10, 2024, ISSN 2524-5317
Publisher: Spinger
DOI: 10.1007/s40818-024-00186-9

Global Solutions for the Generalized SQG Patch Equation

Author(s): Diego Córdoba, Javier Gómez-Serrano, Alexandru D. Ionescu
Published in: Archive for Rational Mechanics and Analysis, Issue 233, 2022, Page(s) 1211-1251, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-019-01377-6

Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations

Author(s): Diego Córdoba, Luis Martínez-Zoroa, Wojciech S. Ożański
Published in: Duke Mathematical Journal, Issue 173, 2024, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2023-0052

Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle

Author(s): Diego Córdoba, Alberto Enciso, Nastasia Grubic
Published in: Advances in Mathematics, Issue 433, 2023, Page(s) 109299, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109299

Mixing solutions for the Muskat problem

Author(s): A. Castro, D. Córdoba, D. Faraco
Published in: Inventiones mathematicae, Issue 226/1, 2021, Page(s) 251-348, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01045-1

Global Existence of Quasi-Stratified Solutions for the Confined IPM Equation

Author(s): Ángel Castro, Diego Córdoba, Daniel Lear
Published in: Archive for Rational Mechanics and Analysis, Issue 232/1, 2019, Page(s) 437-471, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-018-1324-3

Global well-posedness for the 2D stable Muskat problem in $H^{3/2}$

Author(s): Diego CÓRDOBA, Omar LAZAR
Published in: Annales scientifiques de l'École Normale Supérieure, Issue 54, 2021, Page(s) 1315-1351, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2483

Global Smooth Solutions for the Inviscid SQG Equation

Author(s): Angel Castro, Diego Córdoba, Javier Gómez-Serrano
Published in: Memoirs of the American Mathematical Society, Issue 266/1292, 2020, Page(s) 0-0, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.1090/memo/1292

Long‐Term Regularity of 3D Gravity Water Waves

Author(s): Fan Zheng
Published in: Communications in Pure and Applied Mathematics, Issue USA, 2021, ISSN 1097-0312
Publisher: Wiley
DOI: 10.1002/cpa.21985

Self-intersecting Interfaces for Stationary Solutions of the Two-Fluid Euler Equations

Author(s): Diego Córdoba, Alberto Enciso, Nastasia Grubic
Published in: Annals of PDE, Issue 7/1, 2021, ISSN 2524-5317
Publisher: Springer
DOI: 10.1007/s40818-021-00101-6

On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term

Author(s): Ángel Castro, Diego Córdoba, Daniel Lear
Published in: Mathematical Models and Methods in Applied Sciences, Issue 29, 2024, Page(s) 1227-1277, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202519500210

Non-existence and Strong lll-posedness in $$C^{k,\beta }$$ for the Generalized Surface Quasi-geostrophic Equation

Author(s): Diego Córdoba, Luis Martínez-Zoroa
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05049-9

Stability of traveling waves for the Burgers–Hilbertequation

Author(s): Ángel Castro, Diego Córdoba, Fan Zheng
Published in: Analysis & PDE, Issue 16, 2023, Page(s) 2109-2145, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2023.16.2109

Non existence and strong ill-posedness in C-k and Sobolev spaces for SQG

Author(s): Diego Córdoba, Luis Martínez-Zoroa
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108570

Exactly self-similar blow-up of the generalized De Gregorio equation

Author(s): Fan Zheng
Published in: Nonlinearity, Issue 36, 2023, Page(s) 5252-5264, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/acf01e