Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866929753305382912 |
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| author | Kumbhakar, Bholanath Pandey, Dwijendra Narain |
| author_facet | Kumbhakar, Bholanath Pandey, Dwijendra Narain |
| contents | In this paper, we discuss the existence of local strong solutions for the multivalued version of three-dimensional nonstationary Navier-Stokes equation in Banach spaces. Also, we considered a more general inclusion problem and studied the existence of solutions using the fixed point technique approach. We assume that the multivalued map possesses closed values (not necessarily convex values) and apply the Schauder Fixed Point Theorem in order to deduce the existence of fixed points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations Kumbhakar, Bholanath Pandey, Dwijendra Narain Analysis of PDEs 47J35, 34G25, 35R70, 35Q35 In this paper, we discuss the existence of local strong solutions for the multivalued version of three-dimensional nonstationary Navier-Stokes equation in Banach spaces. Also, we considered a more general inclusion problem and studied the existence of solutions using the fixed point technique approach. We assume that the multivalued map possesses closed values (not necessarily convex values) and apply the Schauder Fixed Point Theorem in order to deduce the existence of fixed points. |
| title | Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations |
| topic | Analysis of PDEs 47J35, 34G25, 35R70, 35Q35 |
| url | https://arxiv.org/abs/2503.08351 |