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. [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]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.