Global existence and Computer-Assisted Proofs of singularities in incompressible fluids, with Applications

Project Information

CAPA

Grant agreement ID: 852741

DOI

10.3030/852741

Project terminated on 31 August 2022

EC signature date 19 December 2019

Start date 1 July 2020

End date 30 June 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 483 073,00

EU contribution

€ 1 483 073,00

Coordinated by

UNIVERSITAT DE BARCELONA
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 (11)

Time periodic solutions for 3D quasi-geostrophic model

Author(s): Claudia García, Taoufik Hmidi, Joan Mateu
Published in: Communications in Mathematical Physics, Issue 390, 2022, Page(s) 617-756, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04290-w

Vortex Patches Choreography for Active Scalar Equations

Author(s): Claudia García
Published in: Journal of Nonlinear Science, Issue 31, 2021, Page(s) Article 75, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-021-09729-x

Quantitative Hölder estimates for even singular integral operators on patches

Author(s): Francisco Gancedo, Eduardo Garcia-Juarez
Published in: Journal of Functional Analysis, Issue 00221236, 2022, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2022.109635

Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

Author(s): Gómez-Serrano, Javier; Park, Jaemin; Shi, Jia; Yao, Yao
Published in: Phil. Trans. R. Soc. A, Issue 380, 2022, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0045

Any three eigenvalues do not determine a triangle

Author(s): Javier Gómez-Serrano, Gerard Orriols
Published in: Journal of Differential Equations, Issue 275, 2021, Page(s) 920-938, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.11.002

The Peskin Problem with Viscosity Contrast

Author(s): Eduardo Garcia-Juarez, Yoichiro Mori, Robert M. Strain
Published in: Analysis and PDE, Issue in press, 2022, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers

Symmetry in stationary and uniformly rotating solutions of active scalar equations

Author(s): Javier Gómez-Serrano, Jaemin Park, Jia Shi, Yao Yao
Published in: Duke Mathematical Journal, Issue 170, 2021, Page(s) 2957-3038, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2021-0002

A counterexample to Payne's nodal line conjecture with few holes

Author(s): Joel Dahne, Javier Gómez-Serrano, Kimberly Hou
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 103, 2021, Page(s) 105957, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105957

Global Regularity for Gravity Unstable Muskat Bubbles

Author(s): Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel, Robert Strain
Published in: Memoirs of the American Mathematical Society, Issue in press, 2023, ISSN 0065-9266
Publisher: American Mathematical Society

Self-similar solutions for the Muskat equation

Author(s): García-Juárez, Eduardo; Gómez-Serrano, Javier; Nguyen, Huy Q.; Pausader, Benoît
Published in: Advances in Mathematics, Issue 00018708, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108294

Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results

Author(s): Javier Gómez-Serrano, Jaemin Park, Jia Shi, Yao Yao
Published in: Communications in Mathematical Physics, Issue 386, 2021, Page(s) 1845-1879, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04146-3

Other (8)

Global Regularity of 2D Navier-Stokes Free Boundary with Small Viscosity Contrast

Author(s): Gancedo, Francisco; Garcia-Juarez, Eduardo
Published in: arXiv, Issue 1, 2021
Publisher: arXiv

Global bifurcation for corotating and counter-rotating vortex pairs

Author(s): Claudia García, Susanna Haziot
Published in: arXiv, 2022
Publisher: arXiv

Highest Cusped Waves for the Burgers-Hilbert equation

Author(s): Joel Dahne, Javier Gómez-Serrano
Published in: arXiv, 2022
Publisher: arXiv

Self-similar spirals for the generalized surface quasi-geostrophic equations

Author(s): Claudia García, Javier Gómez-Serrano
Published in: arXiv, 2022
Publisher: arXiv

Asymptotic self-similar blow up profile for 3-D Euler via physics-informed neural networks

Author(s): Yongji Wang, Ching-Yao Lai, Javier Gómez-Serrano, Tristan Buckmaster
Published in: arXiv, 2022
Publisher: arXiv

Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy

Author(s): Javier Gómez-Serrano, Jaemin Park, Jia Shi
Published in: arXiv, 2021
Publisher: arXiv

Smooth imploding solutions for 3D compressible fluids

Author(s): Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
Published in: arXiv, 2022
Publisher: arXiv

Time periodic doubly connected solutions for the 3D quasi-geostrophic model

Author(s): Claudia García, Joan Mateu, Taoufik Hmidi
Published in: arXiv, 2022
Publisher: arXiv