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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.02724 |
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| _version_ | 1866914442439032832 |
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| author | Ha, Giang Nguyen Hai |
| author_facet | Ha, Giang Nguyen Hai |
| contents | We investigate a distributed optimal control problem for the viscous Camassa--Holm equations with sparse controls and a general cost functional. Considering three different forms of sparsity-promoting terms, we prove the existence of optimal solutions, derive the corresponding optimality conditions and analyze the stability of optimal solutions with respect to the sparsity parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02724 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sparse control for VCHE with abstract J Ha, Giang Nguyen Hai Optimization and Control We investigate a distributed optimal control problem for the viscous Camassa--Holm equations with sparse controls and a general cost functional. Considering three different forms of sparsity-promoting terms, we prove the existence of optimal solutions, derive the corresponding optimality conditions and analyze the stability of optimal solutions with respect to the sparsity parameter. |
| title | Sparse control for VCHE with abstract J |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2604.02724 |