This paper is concerned with the study of homogenization of an optimal control problem governed by a second-order linear evolution equation with a homogeneous Neumann boundary condition in a domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities, with a fixed height, whose size depends on a small parameter . We identify the limit problem and we remark that both limit state equation and limit cost are different from those ones at ε−level.

Optimal control for a second-order linear evolution problem in a domain with oscillating boundary / DE MAIO, Umberto; L., Faella; C., Perugia. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - 60:10(2015), pp. 1392-1410. [10.1080/17476933.2015.1022169]

Optimal control for a second-order linear evolution problem in a domain with oscillating boundary

DE MAIO, UMBERTO;
2015

Abstract

This paper is concerned with the study of homogenization of an optimal control problem governed by a second-order linear evolution equation with a homogeneous Neumann boundary condition in a domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities, with a fixed height, whose size depends on a small parameter . We identify the limit problem and we remark that both limit state equation and limit cost are different from those ones at ε−level.
2015
Optimal control for a second-order linear evolution problem in a domain with oscillating boundary / DE MAIO, Umberto; L., Faella; C., Perugia. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - 60:10(2015), pp. 1392-1410. [10.1080/17476933.2015.1022169]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/610751
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