M. Anguiano and F.J.Z. Suárez-Grau, Homogenization of an incompressible non-Newtonian flow through a thin porous medium, Z. Angew. Math. Phys. (2017), DOI: 10.1007/s00033-017-0790-z.

J.M. Arrieta, A.N. Carvalho, M.C. Pereira, and R.P. Silva, Semilinear parabolic problems in thin domains with a highly oscillatory boundary, Nonlinear Anal. 74 (2011), no. 15, 5111–5132.

J.M. Arrieta, J.C. Nakasato and M.C. Pereira, The p-Laplacian operator in thin domains: The unfolding approach, J. Differentail Equations 274 (2021), no. 15, 1–34.

J.M. Arrieta and M.C. Pereira, Homogenization in a thin domain with an oscillatory boundary, J. Math. Pures Appl. 96 (2011), 29–57.

J.M. Arrieta and M. Villanueva-Pesqueira, Unfolding operator method for thin domains with a locally periodic highly oscillatory boundary. SIAM J. Math. Analysis 48 (2016), no. 3, 1634–1671.

J.M. Arrieta and M. Villanueva-Pesqueira, Thin domains with non-smooth oscillatory boundaries, J. Math. Anal. Appl. 446 (2017), no. 1, 130–164.

R. Aris, On the dispersion of a solute in a fluid flowing through a tube, Proc. Roy. Soc. London Sect. A 235 (1956), 67–77.

S.R.M. Barros and M.C. Pereira, Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary, J. Math. Anal. Appl. 441 (2016), no. 1, 375–392.

P. Bella, E. Feireisl and A. Novotny, Dimension reduction for compressible viscous fluids, Acta Appl. Math. 134 (2014), 111–121.

M. Benes and I. Pazanin, Effective flow of incompressible micropolar fluid through a system of thin pipes, Acta Appl. Math. 143 (2016), no. 1, 29–43.

D. Blanchard, A. Gaudiello and J. Mossino, Highly oscillating boundaries and reduction of dimension: the critical case, Anal. Appl. (Singap.) 5 (2007), no. 2, 137–163.

D. Cioranescu and P. Donato, Introduction to Homogenization, Oxford Univ. Press, 1999.

D. Cioranescu and J.S.J. Paulin, Homogenization of Reticulated Structures, vol. 136, Springer Science & Business Media, 2012.

G. Dal Maso and A. Defranceschi, Correctors for the homogenization of monotone operators, Differential Integral Equations 3 (1990), 1151–1166.

P. Donato and G. Moscariello, On the homogenization of some nonlinear problems in perforated domains, Rend. Semin. Mat. Univ. Padova 84 (1990), 91–108.

J. Fabricius, Y.O. Koroleva, A. Tsandzana and P. Wall, Asymptotic behavior of Stokes flow in a thin domain with a moving rough boundary, Proc. Roy. Soc. A 470 (2014).

R. Ferreira, M.L. Mascarenhas and A. Piatnitski, Spectral analysis in thin tubes with axial heterogeneities, Portugal. Math. 72 (2015), 247–266.

N. Fusco and G. Moscariello, On the homogenization of quasilinear divergence structure operators, Ann. Mat. Pura Appl. (4) 146 (1987), 1–13.

A. Gaudiello and K. Hamdache, A reduced model for the polarization in a ferroelectric thin wire, NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 6, 1883–1896.

P. Grisvard, Elliptic Problems in Nonsmooth Domains, Society for Industrial and Applied Mathematics, 2011.

J.K. Hale and G. Raugel, Reaction-diffusion equations on thin domains, J. Math. Pures Appl. 71 (1992), 33–95.

D. Iftimie, The 3D Navier–Stokes equations seen as a perturbation of the 2D NavierStokes equations, Bull. Soc. Math. France 127 (1999), 473–518.

X. Liao, On the strong solutions of the inhomogeneous incompressible Navier–Stokes equations in a thin domain, Differential Integral Equations 29 (2016), 167–182.

P. Lindqvist, Notes on the p-Laplace Equation, University of Jyväskylä, 2017.

M. Marohnic and I. Velcic, Homogenization of bending theory for plates; the case of oscillations in the direction of thickness, Comm. Pure and Appl. Anal. 14 (2015), no. 6, 2151–2168.

E. Marusic-Paloka and I. Pazanin, Modelling of heat transfer in a laminar flow through a helical pipe, Math. Comput. Modelling 50 (2009), 1571–1582.

T.A. Mel‘nyk and A. V. Popov, Asymptotic analysis of boundary value and spectral problems in thin perforated domains with rapidly changing thickness and different limiting dimensions, Mat. Sb. 203 (2012), no. 8, 97–124.

F. Murat, Compacité par compensation, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (1978), 489–507.

E.S. Palencia, Non-Homogeneous Media and Vibration Theory, Springer–Verlag, 1980.

M.C. Pereira, Parabolic problems in highly oscillating thin domains, Ann. Mat. Pura Appl. 194 (2014), 1203–1244.

M.C. Pereira, Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains, Zeitschrift fur Angewandte Mathematik und Physik 67 (2016), 1–14.

M.C. Pereira and J. D. Rossi, Nonlocal problems in thin domains, J. Differential Equations 263 (2017), 1725–1754.

M.C. Pereira and J.D. Rossi, Nonlocal evolution problems in thin domains, Appl. Anal. 96 (2018), 2059–2070.

M.C. Pereira and R.P. Silva, Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure, Quart. Appl. Math. 73 (2015), 537–552.

M.C. Pereira and R.P. Silva, Remarks on the p-Laplacian on thin domains, Progr. Nonlinear Differential Equations Appl. (2015), 389–403.

M. Prizzi and K.P. Rybakowski, Recent results on thin domain problems II, Topol. Methods Nonlinear Anal. 19 (2002), 199–219.

J. Shuichi and Y. Morita, Remarks on the behavior of certain eigenvalues on a singularly perturbed domain with several thin channels, Comm. Partial Differential Equations 17 (1991), no. 3, 189–226.

R.P. Silva, Behavior of the p-Laplacian on thin domains, Int. J. of Differ. Equ. 2013 (2013).

P. Suquet, Plasticité et homogénéisation, Thèse d’Etat, Univ. de Paris VI, 1982.

L. Tartar, The General Theory of Homogenization. A personalized introduction, Lecture Notes of the Un. Mat. Ital., vol. 7, Springer–Verlag, Berlin, 2009.

K. Yosida, Functional Analysis, Springer Science & Business Media, 2012.