Bio
PhD candidate, supported by and FPU Fellowship from Spanish Goverment. M.Sc in Advanced Mathematics (2014) and B.Sc. in Mathematics (2013) from Universidad Complutense de Madrid.
Research interests
Mathematical modeling. Homogenization theory. Weak and very weak solution of quasilinear and semilinear elliptic problems. Rearrangement theory. Shape differentiation and optimization. |
Contact details
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Selected Publications
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J.I. Díaz, D. Gómez-Castro, A. V. Podolskii, T.A. Shaposhnikova, Non existence of critical scales in the homogenization of the problem with p-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in n-dimensional domains when p > n, Rev. Real Acad. Ciencias Exactas, Físicas Y Nat. Ser. A. Matemáticas. (2017).
doi:10.1007/s13398-017-0381-z.
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J.I. Díaz, D. Gómez-Castro, Steiner symmetrization for concave semilinear elliptic and parabolic equations and the obstacle problem, in: Dyn. Syst. Differ. Equations, AIMS Proc. 2015 Proc. 10th AIMS Int. Conf. (Madrid, Spain), American Institute of Mathematical Sciences, 2015: pp. 379–386.
doi:10.3934/proc.2015.0379.
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J.I. Díaz, D. Gómez-Castro, C. Timofte, The Effectiveness Factor of Reaction-Diffusion Equations: Homogenization and Existence of Optimal Pellet Shapes, J. Elliptic Parabol. Equations. 2 (2016) 119–129.
doi:10.1007/BF03377396.
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J.I. Díaz, D. Gómez-Castro, A. V. Podol’skii, T.A. Shaposhnikova, Homogenization of the p-Laplace operator with nonlinear boundary condition on critical size particles: identifying the strange terms for some non smooth and multivalued operators, Dokl. Math. 94 (2016) 387–392.
doi:10.1134/S1064562416040098.
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A. Brú, D. Gómez-Castro, J.C. Nuño, Visibility to discern local from nonlocal dynamic processes, Phys. A Stat. Mech. Its Appl. 471 (2017) 718–723.
doi:10.1016/j.physa.2016.12.078.
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