Articles
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De Paula, R., Cardoso, P., Gonçalves, P.: Derivation of the fractional porous medium equation from a microscopic dynamics. Nonlinearity, 36 (2023) 1840. http://doi.org/10.1088/1361-6544/acb7c1
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De Paula, R., Gonçalves, P., Neumann, A.: Energy estimates and convergence of weak solutions of the porous medium equation. Nonlinearity, 34 (2021) 7872. https://doi.org/10.1088/1361-6544/ac2a16
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De Paula, R., Bonorino, L., Gonçalves, P., Neumann, A.: Hydrodynamics of Porous Medium Model with Slow Reservoirs. Journal of Statistical Physics, vol. 179, no. 3 (2020). https://doi.org/10.1007/s10955-020-02550-y
Book Chapters
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De Paula, R., Franceschini, C.: Porous medium model: an algebraic perspective and the Fick’s law. Particle Systems and Partial Differential Equations VI, ed. A. J. Soares and P. Gonçalves, Springer Proceedings in Mathematics & Statistics (2020). https://doi.org/10.1007/978-3-030-69784-6_10
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De Paula, R., Gonçalves, P., Neumann, A.: Porous Medium Model with Slow Reservoirs, Particle Systems and Partial Differential Equations V, ed. A. J. Soares and P. Gonçalves, Springer Proceedings in Mathematics & Statistics (2018).
https://doi.org/10.1007/978-3-319-99689-9_7
Ph.D. thesis
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De Paula, R.: Hydrodynamic behavior of a microscopic dynamics with slow reservoirs (2021).
Master thesis
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De Paula, R.: Porous medium model in contact with reservoirs and nonequilibrium steady state matrix representation, PUC-Rio (2017).