| Autor: |
Miller, Evan, Sawyer, Eric |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Trans. Amer. Math. Soc. Ser. B 10 (2023), 1449-1493 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1090/btran/167 |
| Popis: |
In this paper, we introduce a Helmholtz-type decomposition for the space of square integrable, symmetric-matrix-valued functions analogous to the standard Helmholtz decomposition for vector fields. This decomposition provides a better understanding of the strain constraint space, which is important to the Navier--Stokes regularity problem. In particular, we give a full characterization the orthogonal complement of the strain constraint space and investigate the geometry of the eigenvalue distribution of matrices in the strain constraint space. |
| Databáze: |
arXiv |
| Externí odkaz: |
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