• Asymptotic Analysis 

• Singular Perturbation of Domains (thin domains, domains with rough boundary, perforated domains)

• Mathematical Modeling in Fluid Mechanics

• Analysis of linear and non-linear PDE's

• Antoine Laurain - University of Duisburg-Essen

• Antonio Gaudiello - University of Cassino and South Lazio

• Ariadne Nogueira

• Carmen Peruggia - University of Cassino 

• Giuseppe Cardone - University of Naples - Federico II

• Fabio Prates Machado - Universidade de São Paulo

• Igor Pažanin - University of Zagreb

• José Maria Arrieta - Universidad Complutense de Madrid

• Júlio Daniel Rossi - Universidad de Buenos Aires

• Luisa Faella - University of Sannio

• Manuel Villanueva-Pesqueira - Universidad de Comillas

• Marcone Corrêa Pereira - Universidade de  São Paulo

• Monia Cappana 

• Patrícia Neves de Araújo - Institituto Federal de São Paulo 

• Pedro Paes Tavares Lopes - Universidade de São Paulo

• Shuichi Jimbo - University of Hokkaido

• Tatsu-Hiko Miura - University of Hirosaki

Peer-reviewed

1. P. N. Araújo, J. C. Nakasato and M. C. Pereira. A semilinear elliptic equation with homogeneous Neumann boundary conditions on thin domais with outward peaks. Accepted for publication in Revista Matemática Complutense. 

2. J. M. Arrieta, J. C. Nakasato and M. Villanueva-Pesqueira, Homogenization in 3D thin domains with oscillating boundaries of different orders. Nonlinear Anal, Theory, Methods and appl. 251, 2025. https://doi.org/10.1016/j.na.2024.113667, http://arxiv.org/abs/2405.05599

3. J. C. Nakasato and I. Pažanin. Asymptotic modelling of the current flow system described by the $p(x)$-Laplacian. Z Angew Math Mech. e202400253 (2024). https://doi.org/10.1002/zamm.202400253

4. G. Cardone, L. Faella, J. C. Nakasato and C. Perugia. Nonlinear coupled problems in thin domains with corrugated boundaries. Annali di Matematica Pura ed Applicata, v. 203, p. 2199-2234, 2024.

5. M. Capanna, J. C. Nakasato, M. C. Pereira & J. D. Rossi. Homogenization for nonlocal evolution problems with three different smooth kernels. Journal of Dynamics and Differential Equations, v. 36, p. 1247-1283, 2024. 

6. J. C. Nakasato and M. C. Pereira. A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains. J. of Diff. Equations 392 (2024) 165–208.

7. J. C. Nakasato and I. Pažanin. Homogenization of the non-isothermal, non-Newtonian fluid flow through a thin domain with corrugated boundary. Zeitschrift fur Angewandte Mathematik und Physik 74, 211 (2023), 1-32.

8. J. C. Nakasato and M. C. Pereira. Quasilinear problems with nonlinear boundary conditions in higher dimensional thin domains with corrugated boundaries. Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 20230101.

9. J. C. Nakasato, I. Pažanin and M. C. Pereira. On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary. Journal of Mathematical Analysis and Applications, p. 127062, 2023.

10. A. Laurain, P. T. P. Lopes & J. C. Nakasato. Lagrangian methods in shape optimization. ESAIM: COCV 29 (5) (2023).

11. J. C. Nakasato and M. C. Pereira. An optimal control problem in a tubular thin domain with rough boundary. J. of Diff. Equations 313 (2022) 188–243.  

12. J. C. Nakasato and M. C. Pereira. The p-Laplacian in thin channels with locally periodic roughness and different scales. Nonlinearity, v. 35, p. 2474–2512, 2022.

13. J. C. Nakasato, I. Pažanin and M. C. Pereira, Reaction-diffusion problem in a thin domain with oscillating boundary and varying order of thickness. Zeitschrift fuer Angewandte Mathematik und Physik 72 (1) (2021) 1–17.

14. J. C. Nakasato, I. Pažanin and M. C. Pereira. Roughness–induced effects on the convection–diffusion–reaction problem in a thin domain, Applicable Analysis 100 (2021) 1107–1120.

15. M. Capanna, J. C. Nakasato, M. C. Pereira & J. D. Rossi. Rossi, Homogenization for nonlocal problems with smooth kernels. DCDS v. 41, p. 2777–2808, 2021.

16. J. C. Nakasato and M. C. Pereira. A classical approach for the p-Laplacian in oscillating thin domains. Topological Methods in Nonlinear Analysis, v. 58, p. 209–231, 2021.

17. J. M. Arrieta, J. C. Nakasato and M. C. Pereira, The p-Laplacian operator in thin domains: The unfolding approach, Journal of Differential Equations 274 (15) (2021) 1-34.

18. A. Nogueira & J. C. Nakasato. The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary. Annali di Matematica Pura ed Applicata 199, 1789–1813, 2020.

19. A. Nogueira, J. C. Nakasato & M. C. Pereira. Concentrated reaction terms on the boundary of rough domains for a quasilinear equation. Applied Mathematics Letters, p. 106120, 2019.

Submitted, Preprints and In Preparation

1. J. C. Nakasato, The Stokes equation in a thin domain with multiple order of oscillations. In preparation.

2. J. C. Nakasato and J. D. Rossi, Rates of convergence for nonlocal problems in thin domains. In preparation.

3. A. Gaudiello, J. C. Nakasato and M. C. Pereira, Roughness efects in p-Laplacian problems on thin domains with Signorini-type constraints. Preprint.

4. S. Jimbo and J. C. Nakasato, Eigenvalue of the Laplacian with Dirichlet-Neumann boundary conditions in thin domains: Dirichlet, Neumann and Robin limits. Preprint.

5. T. H. Miura and J. C. Nakasato, Homogenization of the heat equation in an oscillatory moving thin domain. Preprint.

6. F. P. Machado, J. C. Nakasato and M. C. Pereira, The Poisson problem in a thin domain with randomly oscillating boundary. Submitted.

• Mathematical Theory of Origami

• Classical Guitar