We consider a class of evolutionary variational problems which describes the static frictional contact between a piezoelectric body and a conductive obstacle. The formulation is in a form of coupled system involving the displacement and electric potential fields. We provide the existence of unique weak solution of the problems. The proof is based on the evolutionary variational inequalities and Banach's fixed point theorem.
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Univ Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, FranceUniv Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, France
Sofonea, Mircea
Danan, David
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Univ Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, FranceUniv Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, France
Danan, David
Zheng, Cong
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Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R ChinaUniv Perpignan, Lab Math & Phys, Via Domitia,52 Ave Paul Alduy, F-66860 Perpignan, France