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 | 130 | 2013 |
Uniformly rotating analytic global patch solutions for active scalars A Castro, D Córdoba, J Gómez-Serrano Annals of PDE 2 (1), 1-34, 2016 | 100 | 2016 |
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 | 100 | 2016 |
Global smooth solutions for the inviscid SQG equation A Castro, D Córdoba, J Gómez-Serrano Memoirs of the AMS 266 (1292), 89 pp, 2020 | 90 | 2020 |
Computer-assisted proofs in PDE: a survey J Gómez-Serrano SeMA Journal 76 (3), 459-484, 2019 | 72 | 2019 |
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 | 71 | 2021 |
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 | 70 | 2012 |
On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof J Gómez-Serrano, R Granero-Belinchón Nonlinearity 27 (6), 1471-1498, 2014 | 54 | 2014 |
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 | 51 | 2019 |
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 | 50 | 2019 |
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 | 50 | 2012 |
On the existence of stationary patches J Gómez-Serrano Advances in Mathematics 343, 110-140, 2019 | 42 | 2019 |
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 | 37 | 2017 |
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 | 33 | 2012 |
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 | 29* | 2019 |
A note on stability shifting for the Muskat problem D Córdoba, J Gómez-Serrano, A Zlatoš Phil. Trans. R. Soc. A. 373 (20140278), 2015 | 29 | 2015 |
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 | 28* | 2023 |
Smooth imploding solutions for 3D compressible fluids T Buckmaster, G Cao-Labora, J Gómez-Serrano arXiv preprint arXiv:2208.09445, 2022 | 23 | 2022 |
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 | 21 | 2014 |
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 | 16 | 2021 |