Geodesic
Optimal control for an elastic frictional contact problem
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 151-161

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We consider a mathematical model which describes a frictional contact between an elastic body and a foundation. We prove the existence of a unique weak solution to the problem. Then, we study the continuous dependence of the solution with respect to the data. Finally, we address an optimal control problem for which we prove the existence of at least one solution.
Keywords: weak solution, continuous dependence, lower semicontinuity, optimal control.
Mots-clés : Coulomb's friction 
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     author = {Ahlem Benraouda},
     title = {Optimal control for an elastic frictional contact problem},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {151--161},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a0/}
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Ahlem Benraouda. Optimal control for an elastic frictional contact problem. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 151-161. http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a0/