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 2027

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

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 (33)

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

Entanglement of Vortices in the Ginzburg–Landau Equations for Superconductors

Author(s): Alberto Enciso, Daniel Peralta-Salas
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05057-9

An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows

Author(s): Alberto Enciso, Javier Peñafiel-Tomás, Daniel Peralta-Salas
Published in: Forum of Mathematics, Pi, Issue 13, 2025, ISSN 2050-5086
Publisher: Cambridge University Press (CUP)
DOI: 10.1017/fmp.2025.10012

A Schiffer-type problem for annuli with applications to stationary planar Euler flows

Author(s): Alberto Enciso, Antonio J. Fernández, David Ruiz, Pieralberto Sicbaldi
Published in: Duke Mathematical Journal, Issue 174, 2025, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2024-0054

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

Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds

Author(s): Alberto Enciso, Antonio J. Fernández, Daniel Peralta-Salas
Published in: Journal of Functional Analysis, Issue 286, 2024, Page(s) 110415, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110415

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

Uniqueness of the 2D Euler equation on rough domains

Author(s): Siddhant Agrawal, Andrea R. Nahmod
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1676

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

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

Author(s): Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
Published in: The Journal of Geometric Analysis, Issue 33, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01333-7

Vortex reconnections in classical and quantum fluids

Author(s): Alberto Enciso, Daniel Peralta-Salas
Published in: SeMA Journal, Issue 79, 2022, Page(s) 127-137, ISSN 2254-3902
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40324-021-00277-8

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

Deterministic KPZ-type equations with nonlocal “gradient terms”

Author(s): Boumediene Abdellaoui, Antonio J. Fernández, Tommaso Leonori, Abdelbadie Younes
Published in: Annali di Matematica Pura ed Applicata (1923 -), Issue 202, 2023, Page(s) 1451-1468, ISSN 0373-3114
Publisher: Nicola Zanichelli
DOI: 10.1007/s10231-022-01288-6

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

Schiffer-type problems and nonradial stationary Euler flows with compact support

Author(s): Alberto Enciso
Published in: Journées équations aux dérivées partielles, 2025, Page(s) 1-10, ISSN 2118-9366
Publisher: Cellule MathDoc/Centre Mersenne
DOI: 10.5802/jedp.685

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

Optimal metrics for the first curl eigenvalue on 3-manifolds

Author(s): Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
Published in: Calculus of Variations and Partial Differential Equations, Issue 64, 2025, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-025-02995-7

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

Isolated steady solutions of the 3D Euler equations

Author(s): Alberto Enciso, Willi Kepplinger, Daniel Peralta-Salas
Published in: Proceedings of the National Academy of Sciences, Issue 122, 2025, ISSN 0027-8424
Publisher: National Academy of Sciences
DOI: 10.1073/pnas.2414730122

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

Non-integrability and chaos for natural Hamiltonian systems with a random potential

Author(s): Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega
Published in: Advances in Mathematics, Issue 437, 2025, Page(s) 109448, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109448

Obstructions to Topological Relaxation for Generic Magnetic Fields

Author(s): Alberto Enciso, Daniel Peralta-Salas
Published in: Archive for Rational Mechanics and Analysis, Issue 249, 2025, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-024-02078-5

Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces

Author(s): Alberto Enciso, Alba García-Ruiz, Daniel Peralta-Salas
Published in: Journal of Mathematical Physics, Issue 65, 2024, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0156230

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