Orthogonality Relations for a Stationary Flow of an Ideal Fluid Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2018, Volume: 59, Number: 4, Pages: 731-752 Pages count : 22 DOI: 10.1134/S0037446618040158 | ||||
| Tags | Euler equations; ideal fluid; integral momenta; stationary flow | ||||
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Abstract:
For a real solution (u, p) to the Euler stationary equations for an ideal fluid, we derive an infinite series of the orthogonality relations that equate some linear combinations of mth degree integral momenta of the functions uiuj and p to zero (m = 0, 1,..). In particular, the zeroth degree orthogonality relations state that the components ui of the velocity field are L2-orthogonal to each other and have coincident L2-norms. Orthogonality relations of degree m are valid for a solution belonging to a weighted Sobolev space with the weight depending on m. © 2018, Pleiades Publishing, Ltd.
Cite:
Sharafutdinov V.A.
Orthogonality Relations for a Stationary Flow of an Ideal Fluid
Siberian Mathematical Journal. 2018. V.59. N4. P.731-752. DOI: 10.1134/S0037446618040158 WOS Scopus OpenAlex
Orthogonality Relations for a Stationary Flow of an Ideal Fluid
Siberian Mathematical Journal. 2018. V.59. N4. P.731-752. DOI: 10.1134/S0037446618040158 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000443717700015 |
| Scopus: | 2-s2.0-85052988799 |
| OpenAlex: | W2891920863 |