FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On covariant form of the momentum balance equation for perfect fluid |
Gudimenko A. I., Guzev M. A. |
2015, issue 1, P. 41-52 |
Abstract |
| The apparatus of differential geometry is used to represent the momentum balance equation for perfect fluid in а form that is invariant under the time-dependent coordinate transformations. The motion of fluid is described in the framework of four-dimensional formalism when the space-time is represented as a bundle over the time axis $\mathbb R$. Applications of the obtained formulation are discussed. |
Keywords: continuum mechanics, momentum conservation law, fiberbundles, covariant formulation |
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References |
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