Publications

Preprints

1. V. Calvez, D. Poyato, F. Santambrotio, Uniform contractivity of the Fisher infinitesimal model with strongly convex selection. arXiv:2302.12063 (28 pages)

2. J. Peszek, D. Poyato, Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication. arXiv:2207.14764 (33 pages)

3. P.-E. Jabin, D. Poyato, J. Soler, Mean-field limit of non-exchangeable systems. arXiv:2112.15406 (52 pages)

4. D. Poyato, Filippov flows and mean-field limits in the kinetic singular Kuramoto model. arXiv:1903.01305 (71 pages)

Articles

1. V. Calvez, T. Lepoutre, D. Poyato, Ergodicity of the Fisher infinitesimal model with quadratic selection, Nonlinear Anal. Theory Methods Appl. 238 (2024), 113392. D.O.I. (59 pages)

2. J. Peszek, D. Poyato, Heterogeneous gradient flows in the topology of fibered optimal transport, Calc. Var. Partial Differ. Equ. 62 (2023), 258 D.O.I. (73 pages)

3. J. Morales, D. Poyato, On the trend to global equilibrium for Kuramoto oscillators, Ann. I. H. Poincaré-AN 40(3) (2023), 631-716. D.O.I. (86 pages)

4. A. Aguirre-Tamaral, M. Cambón, D. Poyato, J. Soler, I. Guerrero, Predictive model for cytoneme guidance in Hedghog signaling based on Ihog-Glypicans interactions, Nat. Commun. 13 (2022), 5647. D.O.I. (14 pages)

5. J. Kim, D. Poyato, J. Soler, Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. Math. Mod. Meth. Appl. Sci. 31(6) (2021), 1163-1235. arXiv. D.O.I. (73 pages)

6. J. Park, D. Poyato, J. Soler, Filippov trajectories and clustering in the Kuramoto model with singular couplings. J. Eur. Math. Soc. 23 (2021), 3193-3278. arXiv. D.O.I. (86 pages)

7. G. Albi, N. Bellomo, L. Fermo, S.-Y. Ha, J. Kim, L. Pareschi, D. Poyato, J. Soler, Vehicular traffic, crowds, and swarms. From kinetic theory and multiscale methods to applications and research perspectives. Math. Mod. Meth. Appl. Sci. 29(10) (2019), 1901-2005. D.O.I. (105 pages)

8. A. Enciso, D. Poyato, J. Soler, Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations. Comm. Math. Phys. 360(1) (2018), 197-269. arXiv. D.O.I. (73 pages)

9. D. Poyato, J. Soler, Euler-type equations and commutators in singular and hyperbolic limits of Cucker–Smale kinetic models. Math. Mod. Meth. Appl. Sci. 27(6) (2017), 1089-1152. arXiv. D.O.I. (64 pages)

10. D. Poyato, J. Soler, Modeling social crowds: Comment on “Human behaviours in evacuations crowd dynamics: From modelling to “big data” towards crisis management” by Nicola Bellomo et al. Phys. Life Rev. 18 (2016), 50-52. D.O.I. (3 pages)

Thesis

1. PhD thesis: Macroscopic Limits, Self-Organization and Stability in Systems with Singular Interactions Arising from Hydrodynamics and Life Sciences (2019). Universidad de Granada – ISBN: 9788413063324. PDF. Slides.

2. MSc thesis: Generalized Beltrami fields in exterior domains. An application to the theory of knotted structures in stationary solutions of the 3D Euler equation (2015). Link to Spanish version.