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Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
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Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
Bibliographic description
| title: | Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics |
| author: | Han Jiangfeng, Lu Liang, Zeng Shengda 
|
| journal title: | Zeitschrift für angewandte Mathematik und Physik |
| volume: | 71 |
| date of publication : | 2020 |
| pages: | 1-23 |
| article ID: | 32 |
| ISSN: |
0044-2275 |
| eISSN: |
1420-9039 |
| DOI: | |
| language: | English |
| journal language: | English |
| abstract in English: | The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators. First, we establish an existence and uniqueness theorem for a first-order nonlinear evolution inclusion problem, which is driven by a convex subdifferential operator for a proper convex function and a generalized Clarke subdifferential operator for a locally Lipschitz superpotential. Then, we employ the fixed point principle for history-dependent operators to deliver the unique solvability of the parabolic variational–hemivariational inequality. Finally, a dynamic viscoelastic contact problem with the nonlinear constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, where normal contact and friction are described, respectively, by two nonconvex and nonsmooth multi-valued terms. |
| keywords in English: | parabolic variational–hemivariational inequality, history-dependent operator, existence, Clarke subgradient, dynamic viscoelastic contact problem, weak solution |
| affiliation: | Wydział Matematyki i Informatyki |
| type: | journal article |
| subtype: | academic paper |
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Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
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