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A Helmholtz-type decomposition for the space of symmetric matrices.
- Source :
-
Transactions of the American Mathematical Society, Series B . 11/29/2023, Vol. 10, p1449-1493. 45p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23300000
- Volume :
- 10
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society, Series B
- Publication Type :
- Academic Journal
- Accession number :
- 173919856
- Full Text :
- https://doi.org/10.1090/btran/167