Profesor ayudante doctor (Assistant Professor)
Department of Applied Mathematics and Mathematical Analysis
School of Mathematical Sciences
Complutense University of Madrid
Research Group MOMAT
Nonlinear PDEs and applications

 

 

 

Latest Publications

• N. Abatangelo, D. Gómez-Castro, J. L. Vázquez. Singular boundary behaviour and large solutions for fractional elliptic equations. Journal of the London Mathematical Society. 2023, 107, 2. https://doi.org/10.1112/jlms.12692
•  J. A. Carrillo, D. Gómez-Castro, Y. Yao, C. Zeng. Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel. Archive for Rational Mechanics and Analysis. 2023, 247(1). https://doi.org/10.1007/s00205-022-01838-5
• N. Abatangelo, D. Gómez-Castro, J. L. Vázquez. Singular boundary behaviour and large solutions for fractional elliptic equations. Journal of the London Mathematical Society. 2023, https://doi.org/10.1112/jlms.12692
• H. Chan, D. Gómez-Castro, J. L. Vázquez. Singular solutions for fractional parabolic boundary value problems. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2022, 116(4). https://doi.org/10.1007/s13398-022-01294-6
• J. A. Carrillo, D. Gómez-Castro, J. Luis Vázquez, A fast regularisation of a Newtonian vortex equation, Annales de l'Institut Henri Poincaré C, 2022, vol. 39, nº3, pp.705-747 https://doi.org/10.4171/aihpc/17
• J. A. Carrillo, D. Gómez-Castro, J. L. Vázquez. Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. Advances in Nonlinear Analysis. 2022, 11, 1, 937 – 967. http://doi.org/10.1515/anona-2021-0231
• L. Brasco, D. Gómez-Castro, J. L. Vázquez. Characterisation of homogeneous fractional Sobolev spaces. Calculus of Variations and Partial Differential Equations. 2021, 60, 2, Article number 60. https://doi.org/10.1007/s00526-021-01934-6
• J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova & M. N. Zubova. A Time-Dependent Strange Term Arising in Homogenization of an Elliptic Problem with Rapidly Alternating Neumann and Dynamic Boundary Conditions Specified at the Domain Boundary: The Critical Case. Doklady Mathematics. 2020, 101, 96–101. https://doi.org/10.1134/S106456242002009X
• F. del Teso, D. Gómez-Castro, J. L. Vázquez. Estimates on translations and Taylor expansions in fractional Sobolev spaces. Nonlinear Analysis. 2020, 200, 111995. https://doi.org/10.1016/j.na.2020.111995
• F. Brock, J. I. Díaz, A. Ferone, D. Gómez-Castro, A. Mercaldo. Steiner symmetrization for anisotropic quasilinear equations via partial discretization. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2020. https://doi.org/10.1016/j.anihpc.2020.07.005
• H. Chan, D. Gómez-Castro, J. L. Vázquez. Blow-up phenomena in nonlocal eigenvalue problems: When theories of L¹ and L² meet. Journal of Functional Analysis. Available online 11 November 2020, 108845. In Press, Corrected ProofWhat are Corrected Proof. https://doi.org/10.1016/j.jfa.2020.108845
• J. I. Díaz, D. Gómez-Castro, A. V. Podolskiy, T. A. Shaposhnikova. Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes. Advances in Nonlinear Analysis. 9(2020), no. 1, 193--227 doi: https://doi.org/10.1515/anona-2018-0158
• J. I. Díaz, D. Gómez-Castro, A. V. Podol’skii, T. A. Shaposhnikova. Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition. Advances in Nonlinear Analysis. 2019, 8, 679-693. https://doi.org/10.1515/anona-2017-0140
• J. I. Díaz, D. Gómez-Castro, A. M. Ramos, On the well-posedness of a multiscale mathematical model for Lithium-ion batteries. Advances in Nonlinear Analysys, ISSN: 2191-9496, 2019; 8: 1132--1157. DOI link: https://doi.org/10.1515/anona-2018-0041.
• J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova, M. N. Zubova. Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles. Applicable Analysis, 98(1–2) (2019), 232–255. https://doi.org/10.1080/00036811.2018.1441997
• J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova, M. N. Zubova. A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions. Electronic Journal of Di erential Equations. Vol. 2019 (2019), No. 77, pp. 1--13. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu

 

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