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Javier Gómez-Serrano
Javier Gómez-Serrano
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Title
Cited by
Cited by
Year
Finite time singularities for the free boundary incompressible Euler equations
A Castro, D Córdoba, C Fefferman, F Gancedo, J Gómez-Serrano
Annals of Mathematics 178 (3), 1061-1134, 2013
1292013
Uniformly rotating analytic global patch solutions for active scalars
A Castro, D Córdoba, J Gómez-Serrano
Annals of PDE 2 (1), 1-34, 2016
962016
Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations
A Castro, D Córdoba, J Gómez-Serrano
Duke Mathematical Journal 165 (5), 935-984, 2016
962016
Global smooth solutions for the inviscid SQG equation
A Castro, D Córdoba, J Gómez-Serrano
Memoirs of the AMS 266 (1292), 89 pp, 2020
862020
The bounded confidence model of opinion dynamics
J Gómez-Serrano, C Graham, JY Le Boudec
Mathematical Models and Methods in Applied Sciences 22 (02), 1150007, 2012
682012
Computer-assisted proofs in PDE: a survey
J Gómez-Serrano
SeMA Journal 76 (3), 459-484, 2019
672019
Symmetry in stationary and uniformly-rotating solutions of active scalar equations
J Gómez-Serrano, J Park, J Shi, Y Yao
Duke Mathematical Journal 170 (13), 2957-3038, 2021
662021
On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof
J Gómez-Serrano, R Granero-Belinchón
Nonlinearity 27 (6), 1471-1498, 2014
542014
Splash singularity for water waves
A Castro, D Córdoba, CL Fefferman, F Gancedo, J Gómez-Serrano
Proceedings of the National Academy of Sciences 109 (3), 733-738, 2012
502012
Global solutions for the generalized SQG patch equation
D Córdoba, J Gómez-Serrano, AD Ionescu
Archive for Rational Mechanics and Analysis 233 (3), 1211-1251, 2019
482019
Uniformly rotating smooth solutions for the incompressible 2D Euler equations
A Castro, D Córdoba, J Gómez-Serrano
Archive for Rational Mechanics and Analysis 231 (2), 719-785, 2019
482019
On the existence of stationary patches
J Gómez-Serrano
Advances in Mathematics 343, 110-140, 2019
392019
A note on stability shifting for the Muskat problem, II: From stable to unstable and back to stable
D Córdoba, J Gómez-Serrano, A Zlatoš
Analysis & PDE 10 (2), 367-378, 2017
372017
Finite time singularities for water waves with surface tension
A Castro, D Córdoba, C Fefferman, F Gancedo, J Gómez-Serrano
Journal of Mathematical Physics 53 (11), 115622, 2012
332012
A note on stability shifting for the Muskat problem
D Córdoba, J Gómez-Serrano, A Zlatoš
Phil. Trans. R. Soc. A. 373 (20140278), 2015
292015
Splash Singularities for the Free Boundary Navier-Stokes Equations
A Castro, D Córdoba, C Fefferman, F Gancedo, J Gómez-Serrano
Annals of PDE 5, 1-117, 2019
28*2019
Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks
Y Wang, CY Lai, J Gómez-Serrano, T Buckmaster
Physical Review Letters 130 (24), 244002, 2023
23*2023
Smooth imploding solutions for 3D compressible fluids
T Buckmaster, G Cao-Labora, J Gómez-Serrano
arXiv preprint arXiv:2208.09445, 2022
212022
Remarks on geometric properties of SQG sharp fronts and -patches
A Castro, D Córdoba, J Gómez-Serrano, AM Zamora
Discrete and Continuous Dynamical Systems - Series A 34 (12), 5045-5059, 2014
212014
Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy
J Gómez-Serrano, J Park, J Shi
Memoirs of the AMS, 2021
152021
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Articles 1–20