Some problems in Homogenization

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Some problems in Homogenization

Show simple item record Rajesh, M. 2009-08-26T05:24:44Z 2009-08-26T05:24:44Z 2009-08-26T05:24:44Z 2000
dc.description.abstract Some problems in the homogenization of partial differential equations are considered for this study. The process of obtaining the macroscopic or effective properties of materials having heterogeneities on a scale much smaller compared to the material dimensions are dealt with in this study. The problems in homogenization are of the nature of obtaining the global behaviour of solutions of problems in partial differential equations having rapidly oscillating coefficients. The aim is to identify a suitable homogenized problem whose solution approximated the solution of the original problem, for small oscillations. This thesis consists of two parts, the first concerns the homogenization of a class of optimal control problems under several situations; the second deals with the justification of the second term in the asymptotic expansion for a flow in a partially fissured medium. In the second and third chapters, study of some problems considered from a new points of view, and some generalizations of the existing results are obtained. In the fourth chapter the homogenization of optimal control problems governed by elliptic systems in perforated domains is studied. Some results are obtained for the homogenization of the optimal control problem governed by Dirichlet boundary value problems in perforated domains, and discussed in the fifth chapter. en_US
dc.subject Homogenization en_US
dc.title Some problems in Homogenization en_US Ph.D en_US
dc.type.institution Others en_US
dc.description.advisor Kesavan, S.
dc.description.pages vii; 98p. en_US
dc.type.mainsub Mathematics en_US

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