Article
| Title: | A magneto-electro-elastic problem with non-monotone contact conditions (English) |
| Author: | Kasri, Abderrezak |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 191-218 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider a static frictional contact problem between a magneto-electro-elastic body and a foundation. We assume that the friction law is non-monotone, slip dependent, and associated with a non-monotone normal compliance, which is restricted by a unilateral constraint. We derive a variational formulation for the model, which is a system that couples a variational-hemivariational inequality with a variational equation. Then, we apply abstract results to prove its weak solvability. Finally, under additional assumptions on the contact functions, we prove the uniqueness of the solution. (English) |
| Keyword: | magneto-electro-elastic material |
| Keyword: | variational-hemivariational inequality |
| Keyword: | variational equation |
| Keyword: | nonconvex function |
| Keyword: | non-monotone interface law |
| Keyword: | normal compliance |
| Keyword: | unilateral constraint |
| Keyword: | slip dependent friction |
| MSC: | 47J20 |
| MSC: | 47J22 |
| MSC: | 49J53 |
| MSC: | 74B05 |
| MSC: | 74F15 |
| MSC: | 74M10 |
| MSC: | 74M15 |
| DOI: | 10.21136/AM.2026.0061-25 |
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| Date available: | 2026-07-31T06:55:57Z |
| Last updated: | 2026-08-03 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153661 |
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