On the Existence and Smoothness of the Navier-Stokes Equation I
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913600360153088 |
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| author | Campos, Brian David Vasquez |
| author_facet | Campos, Brian David Vasquez |
| contents | In this paper, we give a sufficient condition to guarantee the existence of a smooth solution of the Navier-Stokes Equation with the nice decreasing properties at infinity. In this way, we prove the existence of smooth physically reasonable solutions to the Navier-Stokes problem. Additionally, we show the existence of a smooth curve of entire vector fields of order 2 that extends the solution to the complex domain for positive time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Existence and Smoothness of the Navier-Stokes Equation I Campos, Brian David Vasquez Analysis of PDEs Complex Variables Functional Analysis In this paper, we give a sufficient condition to guarantee the existence of a smooth solution of the Navier-Stokes Equation with the nice decreasing properties at infinity. In this way, we prove the existence of smooth physically reasonable solutions to the Navier-Stokes problem. Additionally, we show the existence of a smooth curve of entire vector fields of order 2 that extends the solution to the complex domain for positive time. |
| title | On the Existence and Smoothness of the Navier-Stokes Equation I |
| topic | Analysis of PDEs Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2405.07929 |