Global solutions of the 3D incompressible inhomogeneous viscoelastic system
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910349605732352 |
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| author | Ai, Chengfei Wang, Yong |
| author_facet | Ai, Chengfei Wang, Yong |
| contents | In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system. We do not assume the "initial state" assumption and the "div-curl" structure inspired by the works [59,61]. It is a key to transform the original system into a suitable dissipative system by introducing a new effective tensor, which is useful to establish a series of energy estimates with appropriate time weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00555 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global solutions of the 3D incompressible inhomogeneous viscoelastic system Ai, Chengfei Wang, Yong Analysis of PDEs In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system. We do not assume the "initial state" assumption and the "div-curl" structure inspired by the works [59,61]. It is a key to transform the original system into a suitable dissipative system by introducing a new effective tensor, which is useful to establish a series of energy estimates with appropriate time weights. |
| title | Global solutions of the 3D incompressible inhomogeneous viscoelastic system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.00555 |