@article{BUMI_2012_9_5_2_281_0, author = {Luc Tartar}, title = {On a Homogenization Effect for a Two-Dimensional Diffusion Plus Transport Equation}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {5}, year = {2012}, pages = {281-307}, zbl = {1291.35238}, mrnumber = {2977250}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_2_281_0} }
Tartar, Luc. On a Homogenization Effect for a Two-Dimensional Diffusion Plus Transport Equation. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 281-307. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_2_281_0/
[CKRZ] Diffusion and mixing in fluid flow, Ann. of Math. (2), 168, no. 2 (2008), 643-674. | MR 2434887 | Zbl 1180.35084
- - - ,[INRZ] Exit times of diffusions with incompressible drift, SIAM J. Math. Anal., 42, no. 6 (2010), 2484-2498. | MR 2733257 | Zbl 1387.35493
- - - ,[Mu] H-convergence, Séminaire d'analyse fonctionnelle et numérique, Université d'Alger, 1977-78. English translation: - , H-convergence, Topics in the mathematical modelling of composite materials, 21-43, Progr. Nonlinear Differential Equations Appl., 31, Birkhäuser, Boston, MA, 1997. | MR 1493039
,[Sp1] Sul limite delle soluzioni di problemi di Cauchy relativi all'equazione del calore, Ann. Scuola Norm. Sup. Pisa, (3) 21 (1967), 657-699. | MR 225015 | Zbl 0153.42103
,[Sp2] Sulla convergenza di soluzioni di equazioni paraboliche ed ellitiche, Ann. Scuola Norm. Sup. Pisa (3) 22 (1968), 571-597. | MR 240443
,[Ta74] Problèmes de contrôle des coefficients dans des équations aux dérivées partielles, Control theory, numerical methods and computer systems modelling (Internat. Sympos., IRIA LABORIA, Rocquencourt, 1974), pp. 420-426. Lecture Notes in Econom. and Math. Systems, Vol. 107, Springer, Berlin, 1975. English translation: - , On the control of coefficients in partial differential equations, Topics in the mathematical modelling of composite materials, 1-8, Prog. Nonlinear Differential Equations Appl., 31 (Birkhäuser Boston, MA, 1997). | MR 1493037
,[Ta77] Estimations de coefficients homogénéisés, Computing methods in applied sciences and engineering (Proc. Third Internat. Sympos., Versailles, 1977), I, pp. 364-373, Lecture Notes in Math., 704, (Springer, Berlin, 1979). English translation: Estimations of homogenized coefficients, Topics in the mathematical modelling of composite materials, 9-20, Prog. Nonlinear Differential Equations Appl., 31 (Birkhäuser Boston, MA, 1997). | MR 540123
,[Ta83] Estimations fines des coefficients homogénéisés, Ennio De Giorgi colloquium (Paris, 1983), 168-187, Res. Notes in Math., 125 (Pitman, Boston, MA-London, 1985). | MR 909716
,[Ta90] H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A, 115, no. 3-4 (1990), 193-230. | MR 1069518 | Zbl 0774.35008
,[Ta93] Remarks on Some Interpolation Spaces, in Boundary value problems for partial differential equations and applications, 229-252, RMA Res. Notes Appl. Math., 29 (Masson, Paris, 1993). | MR 1260449 | Zbl 0803.46039
,[Ta95] Remarks on the Homogenization Method in Optimal Design Problems, in Homogenization and Applications to Material Sciences, Proc. Nice 1995, , and , Gakuto Int. Series, Math. Sciences and Applications vol. 9, Gakkokotosho, Tokyo, Japan (1997) 393-412. | MR 1474002 | Zbl 0894.49002
,[Ta98] An Introduction to the Homogenization Method in Optimal Design, Optimal Shape Design, Tróia, 1998, 47-156, Lecture Notes in Math., Vol. 1740 (Springer, Berlin, 2000). | MR 1804685
,[Ta07] Qu'est-ce que l'homogénéisation?, Portugaliae Mathematica, Vol. 64, Fasc. 4 (2007), 389-444. | MR 2374397 | Zbl 1145.35003
,[Ta09] 7. Springer-Verlag, Berlin; UMI (Bologna, 2009), xxii+470. | MR 2582099
, The General Theory of Homogenization: A Personalized Introduction, Lecture Notes of the Unione Matematica Italiana, , Lectures on the calculus of variations and optimal control theory, W. B. Saunders Co., Philadelphia-London-Toronto, Ont. (1969), xi+331.