Navier-Stokes Equations for Elliptic Complexes
- We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam´e system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded in the equations. In the present paper we develop an invariant approach to the classical Navier-Stokes equations.
| Author details: | Azal MeraORCiDGND, Alexander A. ShlapunovORCiDGND, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.17516/1997-1397-2019-12-1-3-27 |
| ISSN: | 1997-1397 |
| ISSN: | 2313-6022 |
| Title of parent work (English): | Journal of Siberian Federal University. Mathematics & Physics |
| Publisher: | Sibirskij Federalʹnyj Universitet |
| Place of publishing: | Krasnojarsk |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2019/01/01 |
| Publication year: | 2019 |
| Release date: | 2021/05/25 |
| Tag: | Navier-Stokes equations; classical solution |
| Volume: | 12 |
| Issue: | 1 |
| Number of pages: | 25 |
| First page: | 3 |
| Last Page: | 27 |
| Funding institution: | Ministry of High Education of Iraq; Russian Federation Government [14.Y26.31.0006] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Bronze Open-Access |
