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Gómez-Serrano, Javier

  1. Mathematical exploration and discovery at scale
    2025/11/03 by Bogdan Georgiev, Georgiev, Bogdan, Javier Gómez-Serrano +6 · 13 voices · 13 citations
    Computer Science · #Evolutionary Algorithms and Applications #Artificial Intelligence in Games #Mathematics, Computing, and Information Processing
  2. Discovery of Unstable Singularities
    2025/09/17 by Y. Wang, Yongji Wang, M Bennani +45 · 8 voices · 3 citations
    Physics and Astronomy · Engineering · Computer Science · #math.AP #physics.flu-dyn
  3. Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks
    2022/01/18 by Wang, Yongji, Lai, Ching-Yao, Gómez-Serrano, Javier +1 · 12 citations
    #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Machine Learning (cs.LG)
  4. Global smooth solutions for the inviscid SQG equation
    2016/03/10 by Castro, Angel, Córdoba, Diego, Gómez-Serrano, Javier · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Computer-assisted proofs in PDE: a survey
    2018/10/01 by Gómez-Serrano, Javier · 4 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Uniformly rotating analytic global patch solutions for active scalars
    2015/08/07 by Castro, Angel, Córdoba, Diego, Gómez-Serrano, Javier · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. Symmetry in stationary and uniformly-rotating solutions of active scalar equations
    2019/08/05 by Javier Gómez-Serrano, Gómez-Serrano, Javier, Jaemin Park +5 · 3 citations
    Mathematics · #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
  8. Quasiperiodic solutions of the generalized SQG equation
    2023/03/07 by Gómez-Serrano, Javier, Ionescu, Alexandru D., Park, Jaemin · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. The Bounded Confidence Model Of Opinion Dynamics
    2010/06/18 by Javier Gómez-Serrano, Gómez-Serrano, Javier, C. D. Graham +3 · 1 citation
    Physics and Astronomy · #37M99 #45G10 #60K35 #91D30 #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Network Analysis Techniques #FOS: Mathematics #FOS: Physical sciences #Opinion Dynamics and Social Influence #Probability (math.PR) #Quantum many-body systems
  10. Splash singularities for the free boundary Navier-Stokes equations
    2015/04/10 by Castro, Angel, Córdoba, Diego, Fefferman, Charles +2 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  11. Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy
    2021/12/07 by Javier Gómez-Serrano, Gómez-Serrano, Javier, Jaemin Park +3 · 2 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
  12. Global solutions for the generalized SQG patch equation
    2017/05/30 by Córdoba, Diego, Gómez-Serrano, Javier, Ionescu, Alexandru D. · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. Spectral determination of semi-regular polygons
    2017/09/18 by Enciso, Alberto, Gómez-Serrano, Javier · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
  14. Any three eigenvalues do not determine a triangle
    2019/11/15 by Gómez-Serrano, Javier, Orriols, Gerard · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
  15. Desingularization of small moving corners for the Muskat equation
    2023/05/08 by Eduardo García-Juárez, García-Juárez, Eduardo, Javier Gómez-Serrano +5 · 1 citation
    Engineering · Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Thin Films #Mathematical Physics (math-ph) #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics
  16. Non-radial implosion for compressible Euler and Navier-Stokes in \mathbbT3 and ℝ3
    2023/10/09 by Cao-Labora, Gonzalo, Gómez-Serrano, Javier, Shi, Jia +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  17. Self-similar spirals for the generalized surface quasi-geostrophic equations
    2022/07/25 by García, Claudia, Gómez-Serrano, Javier · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics