Analysis of geometry-driven phenomena in fluid mechanics, PDEs and spectral theory

Project Information

FLUSPEC

Grant agreement ID: 862342

DOI 10.3030/862342

EC signature date 19 December 2019

Start date 1 March 2021

End date 28 February 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 825 163,00

EU contribution € 1 825 163,00

Coordinated by

AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Spain

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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 (19)

Refined Rellich boundary inequalities for the derivatives of a harmonic function

Author(s): Agrawal, Siddhant; Alazard, Thomas
Published in: Proceedings of the American Mathematical Society, Issue 22, 2023, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16277

Nonuniqueness for the Nonlocal Liouville Equation in \(\mathbb{R}\) and Applications

Author(s): Luca Battaglia; Matteo Cozzi; Antonio J. Fernández; Angela Pistoia
Published in: SIAM J Math Anal, Issue 2, 2024, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m1538004

Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations

Author(s): Diego Cordoba, Alberto Enciso, Nastasia Grubic
Published in: Annals of PDE, Issue 21992576, 2021, ISSN 2199-2576
Publisher: Springer
DOI: 10.1007/s40818-021-00101-6

Piecewise Smooth Stationary Euler Flows with Compact Support Via Overdetermined Boundary Problems

Author(s): Miguel Domínguez-Vázquez, Alberto Enciso, Daniel Peralta-Salas
Published in: Archive for Rational Mechanics and Analysis, Issue 00039527, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01594-4

MHD equilibria with nonconstant pressure in nondegenerate toroidal domains

Author(s): Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel
Published in: Journal of the European Mathematical Society, Issue 14359855, 2023, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.48550/arxiv.2104.08149

Spectral determination of semi-regular polygons

Author(s): Alberto Enciso, Javier Gómez-Serrano
Published in: Journal of differential geometry, 2023, ISSN 0022-040X
Publisher: International Press

Localization properties of high energy eigenfunctions on flat tori

Author(s): Alberto Enciso, Alba García-Ruiz, Daniel Peralta-Salas
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press

Non-existence of axisymmetric optimal domains with smooth boundary for the first curl eigenvalue

Author(s): Alberto Enciso, Daniel Peralta-Salas
Published in: Annali della scuola normale superiore di Pisa, Issue 0391173X, 2023, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.202010_008

Overdetermined boundary problems with nonconstant Dirichlet and Neumann data

Author(s): Miguel Domínguez-Vázquez, Alberto Enciso, Daniel Peralta-Salas
Published in: Analysis and PDE, 2023, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers

Optimal convex domains for the first curl eigenvalue

Author(s): Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
Published in: Trans AMS, Issue 15, 2024, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8914

Limiting Measures and Energy Growth for Sequences of Solutions to Taubes’s Seiberg–Witten Equations

Author(s): A. Enciso, D. Peralta-Salas, F. Torres de Lizaur
Published in: J Geom Anal, 2023, ISSN 1050-6926
Publisher: American Mathematical Society

Approximation theorems for the Schrödinger equation and quantum vortex reconnection

Author(s): Alberto Enciso; Daniel Peralta-Salas
Published in: Communications in Mathematical Physics, Issue 00103616, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04177-w

Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher

Author(s): Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
Published in: J Diff Eqs, 2023, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.01.013

Optimal convex domains for the first curl eigenvalue

Author(s): Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
Published in: Trans AMS, 2023, ISSN 0002-9947
Publisher: American Mathematical Society

Beltrami fields and knotted vortex structures in incompressible fluid flows

Author(s): Alberto Enciso; Daniel Peralta‐Salas
Published in: Bulletin of the London Mathematical Society, Issue 4, 2023, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12780

Beltrami fields exhibit knots and chaos almost surely

Author(s): Enciso, A., Peralta-Salas, D., Romaniega, Á.
Published in: Forum Math Sigma, 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.52

Isoperimetric problem for the first curl eigenvalue

Author(s): Wadim Gerner
Published in: J. Math. Anal. Appl., Issue 7, 2023, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2022.126808

Ramified local isometric embeddings of singular Riemannian metrics

Author(s): Alberto Enciso, Niky Kamran
Published in: Journal of differential equations, Issue 00220396, 2021, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.12.025

Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials

Author(s): Alberto Enciso; Arick Shao; Bruno Vergara
Published in: Journal of the European Mathematical Society, Issue 14359855, 2021, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1105