Free Access
| Issue |
ESAIM: M2AN
Volume 55, Number 2, March-April 2021
|
|
|---|---|---|
| Page(s) | 627 - 658 | |
| DOI | https://doi.org/10.1051/m2an/2021008 | |
| Published online | 31 March 2021 | |
- N.S. Bakhvalov and G. Panasenko, Homogenisation: Averaging Processes in Periodic Media. Kluwer (1989). [Google Scholar]
- D. Caillerie, The effect of a thin inclusion of high rigidity in an elastic body. Math. Methods Appl. Sci. 2 (1980) 251–270. [Google Scholar]
- S.W. Churchill and H. Chu, Correlating equations for laminar and turbulent free convection from a vertical plate. Int. J. Heat Mass Trans. 18 (1975) 1323–1329. [Google Scholar]
- J. Droniou, Solving convection-diffusion equations with mixed, Neumann and Fourier boundary conditions and measures as data, by duality method. Adv. Differ. Equ. 5 (2000) 1341–1396. [Google Scholar]
- J. Fernandez-Seara, F.J. Uhia and J.A. Dopazo, Experimental transient natural convection heat transfer from a vertical cylindrical tank. Appl. Thermal Eng. 31 (2011) 1915–1922. [Google Scholar]
- F. Hecht, New development in FreeFem++. J. Numer. Math. 20 (2012) 251–266. [CrossRef] [MathSciNet] [Google Scholar]
- J.P. Holman, Heat Transfer, 9th edition. Mc Graw Hill (2002). [Google Scholar]
- M. Ljulj and J. Tambača, 3D structure–2D plate interaction problem. Math. Mech. Solids 24 (2019) 3354–3377. [Google Scholar]
- S. Marušić and E. Marušić-Paloka, Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics. Asymptotic Anal. 23 (2000) 23–57. [Google Scholar]
- S. Marušić and E. Marušić-Paloka, Reduction of dimension for parabolic equations via two-scale convergence. In: Proceedings of ApplMat 99, Dubrovnik, 1999, Department of Mathematics, University of Zagreb (2001) 155–164. [Google Scholar]
- S. Marušić, E. Marušić-Paloka and I. Pažanin, Effects of strong convection on the cooling process for a long or thin pipe. C.R. Mec. 336 (2008) 493–499. [Google Scholar]
- E. Marušić-Paloka, Mathematical modeling of junctions in fluid mechanics via two-scale convergence. J. Math. Anal. App. 480 (2019) 123399. [Google Scholar]
- E. Marušić-Paloka and I. Pažanin, Non-isothermal fluid flow through a thin pipe with cooling. Appl. Anal. 88 (2009) 495–515. [Google Scholar]
- E. Marušić-Paloka and I. Pažanin, Modelling of heat transfer in a laminar flow through a helical pipe. Math. Comput. Model. 50 (2009) 1571–1582. [Google Scholar]
- E. Marušić-Paloka and I. Pažanin, On the effects of curved geometry on heat conduction through a distorted pipe. Nonlinear Anal.: Real World App. 11 (2010) 4554–4564. [Google Scholar]
- E. Marušić-Paloka, I. Pažanin and M. Prša, Heat conduction problem in a dilated pipe: existence and uniqueness result. Mediterranean J. Math. 14 (2017) 97. [Google Scholar]
- E. Marušić-Paloka, I. Pažanin and M. Prša, Asymptotic analysis of the heat conduction problem in a dilated pipe. Appl. Math. Comput. 355 (2019) 135–150. [Google Scholar]
- J. Nečas, Les méthodes directes en théorie des équations elliptiques. Masson, Paris (1967). [Google Scholar]
- R. Nittka, Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains. J. Differ. Equ. 251 (2011) 860–880. [Google Scholar]
- G. Panasenko, Multiscale Modelling of Thin Structures and Composites. Springer (2005). [Google Scholar]
- G. Stampacchia, Equations elliptiques du second ordre à coefficients discontinus. Séminaire Jean Leray 3 (1963–1964) 1–77. [Google Scholar]
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