The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains

Author:

Höfer Richard M.,Velázquez Juan J. L.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference27 articles.

1. Acrivos A., Hinch E., Jeffrey D.: Heat transfer to a slowly moving fluid from a dilute fixed bed of heated spheres. J. Fluid Mech. 101(02), 403–421 (1980)

2. Allaire G.: Homogenization of the Navier–Stokes equations in open sets perforated with tiny holes I. Abstract framework, a volume distribution of holes. Arch. Ration. Mech. Anal. 113, 209–259 (1991)

3. Allaire G.: Homogenization of the Navier–Stokes equations in open sets perforated with tiny holes II: non-critical sizes of the holes for a volume distribution and a surface distribution of holes. Arch. Ration. Mech. Anal. 113(3), 261–298 (1991)

4. Cioranescu, D., Murat, F.: Un terme étrange venu d’ailleurs. Nonlinear Partial Differential Equations and Their Applications. Collège de France Seminar, Vol. II (Paris, 1979/1980), Vol. 60. Research Notes in Mathematics. Pitman, Boston, MA- London, pp. 98–138, 389–390 1982

5. Cioranescu, D., Murat, F.: Un terme étrange venu d’ailleurs. II. Nonlinear Partial Differential Equations and Their Applications. Collège de France Seminar, Vol. III (Paris, 1980/1981), Vol. 70. Research Notes in Mathematics. Pitman, Boston, MA-London, pp. 154–178, 425–426 1982

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