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Geometric problems in PDEs with applications to fluid mechanics

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Publications

Stability Results, Almost Global Generalized Beltrami Fields and Applications to Vortex Structures in the Euler Equations

Author(s): Alberto Enciso, David Poyato, Juan Soler
Published in: Communications in Mathematical Physics, Issue 360/1, 2018, Page(s) 197-269, ISSN 0010-3616
DOI: 10.1007/s00220-017-3063-y

Minimal graphs with micro-oscillations

Author(s): A. Enciso, M.A. Garcia-Ferrero, D. Peralta-Salas
Published in: Journal of Differential Equations, 2018, Page(s) in press, ISSN 0022-0396

Beltrami Fields with a Nonconstant Proportionality Factor are Rare

Author(s): Alberto Enciso, Daniel Peralta-Salas
Published in: Archive for Rational Mechanics and Analysis, Issue 220/1, 2016, Page(s) 243-260, ISSN 0003-9527
DOI: 10.1007/s00205-015-0931-5

Helicity is the only integral invariant of volume-preserving transformations

Author(s): Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
Published in: Proceedings of the National Academy of Sciences, Issue 113/8, 2016, Page(s) 2035-2040, ISSN 0027-8424
DOI: 10.1073/pnas.1516213113

On the existence of stationary splash singularities for the Euler equations

Author(s): Diego Córdoba, Alberto Enciso, Nastasia Grubic
Published in: Advances in Mathematics, Issue 288, 2016, Page(s) 922-941, ISSN 0001-8708
DOI: 10.1016/j.aim.2015.09.035

Prescribing the nodal set of the first eigenfunction in each conformal class

Author(s): Alberto Enciso, Daniel Peralta-Salas, Stefan Steinerberger
Published in: International Mathematics Research Notices, 2016, ISSN 1073-7928

Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities

Author(s): Miguel Domínguez-Vázquez, Alberto Enciso, Daniel Peralta-Salas
Published in: Advances in Mathematics, Issue 351, 2019, Page(s) 718-760, ISSN 0001-8708
DOI: 10.1016/j.aim.2019.05.017

Vortex reconnection in the three dimensional Navier–Stokes equations

Author(s): Alberto Enciso, Renato Lucà, Daniel Peralta-Salas
Published in: Advances in Mathematics, Issue 309, 2017, Page(s) 452-486, ISSN 0001-8708
DOI: 10.1016/j.aim.2017.01.025

Knotted structures in high-energy Beltrami fields on the torus and the sphere

Author(s): Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
Published in: Annales Scientifiques de l'École Normale Supérieure, Issue 50, 2017, Page(s) 995-1016, ISSN 0012-9593

Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces

Author(s): Alberto Enciso, María del Mar González, Bruno Vergara
Published in: Journal of Functional Analysis, Issue 273/6, 2017, Page(s) 2144-2166, ISSN 0022-1236
DOI: 10.1016/j.jfa.2017.06.009

Bounded solutions to the Allen–Cahn equation with level sets of any compact topology


Published in: ISSN 2157-5045
DOI: 10.2140/apde.2016.9.1433

Laplace operators with eigenfunctions whose nodal set is a knot

Author(s): Alberto Enciso, David Hartley, Daniel Peralta-Salas
Published in: Journal of Functional Analysis, Issue 271/1, 2016, Page(s) 182-200, ISSN 0022-1236
DOI: 10.1016/j.jfa.2016.04.016

The Biot-Savart operator of a bounded domain

Author(s): Alberto Enciso, M. Ángeles García-Ferrero, Daniel Peralta-Salas
Published in: Journal de Mathématiques Pures et Appliquées, Issue in press, 2018, ISSN 0021-7824

Dislocations of arbitrary topology in Coulomb eigenfunctions

Author(s): Alberto Enciso, David Hartley, Daniel Peralta-Salas
Published in: Revista Matemática Iberoamericana, Issue in press, 2018, ISSN 0213-2230

A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator

Author(s): Alberto Enciso, David Hartley, Daniel Peralta-Salas
Published in: Journal of the European Mathematical Society, Issue 20/2, 2018, Page(s) 301-314, ISSN 1435-9855
DOI: 10.4171/JEMS/767

Lorentzian Einstein metrics with prescribed conformal infinity

Author(s): Enciso, Alberto; Kamran, Niky
Published in: Journal of Differential Geometry, Issue in press, 2018, ISSN 0022-040X

A problem of Ulam about magnetic fields generated by knotted wires


Published in: ISSN 0143-3857

Uniqueness and characterization theorems for generalized entropies

Author(s): A. Enciso, P. Tempesta
Published in: Journal of Statistical Mechanics, 2018, ISSN 1742-5468