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Journal articles
Homogenization of transport problems and semigroups
Abstract : In some cases, the homogenization of evolution differential equations whose solution is given by the action of a semigroup on their initial data may lead to evolution problems with a completely different structure, usually integro-differential equations whose dynamics is not defined by a semigroup, but involves memory effects. A typical example is the homogenization --- or discretization --- of opacities in radiative transfer. In this paper, we propose a formulation of homogenized equations in terms of a semigroup acting on an enlarged phase space (i.e. on functions involving more variables than in the original problem.)
Cited literature [12 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-00472237
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Saturday, April 10, 2010 - 8:22:15 AM
Last modification on : Sunday, June 26, 2022 - 5:30:50 AM
Long-term archiving on: : Tuesday, September 14, 2010 - 6:22:00 PM
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Saturday, April 10, 2010 - 8:22:15 AM
Last modification on : Sunday, June 26, 2022 - 5:30:50 AM
Long-term archiving on: : Tuesday, September 14, 2010 - 6:22:00 PM
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