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Lie Subalgebras and Invariant Solutions ...

Xia, Lang...

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Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field by Xia, Lang ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-07-2023
Summary	In the present report, by using the Stokes-Helmholtz decomposition theorem the 3-dimensional Navier-Stokes equation (NSE) is uncoupled and transformed into a scalar equation for the velocity potential when the flow field is toroidal. The dynamics of the velocity potential is independent of the vector potential. The reduction and invariant solutions to the equation are analyzed by the Lie symmetry method subsequently. The Lie subalgebras for the equation are discussed and the corresponding invariant solutions are also presented.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1108.2467

Citation

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AMA 11th EditionReferences

Xia, Lang. Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field. N.A. July 31, 2023. Accessed September 19, 2024. https://online.provdatabase.com/cite/2860

APA 7th EditionReferences

Xia, Lang. (2023). Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field. N.A. https://online.provdatabase.com/cite/2860

Chicago 17th EditionReferences

Xia, Lang. Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field. N.A. 2023. https://online.provdatabase.com/cite/2860

HarvardReferences

Xia, Lang. (2023). Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2860. (Accessed 19 September 2024).

Harvard AustraliaReferences

Xia, Lang, 2023, Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field, N.A, viewed 19 September 2024, <https://online.provdatabase.com/cite/2860>

MLA 9th EditionWorks Cited

Xia, Lang. Lie Subalgebras and Invariant Solutions to the Equation of Fluid Flows in Toroidal Field. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/2860.

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