Geodesic
On covariant form of the momentum balance equation for perfect fluid
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 41-52

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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. This representation is obtained when 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. 
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     author = {A. I. Gudimenko and M. A. Guzev},
     title = {On covariant form of the momentum balance equation for perfect fluid},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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A. I. Gudimenko; M. A. Guzev. On covariant form of the momentum balance equation for perfect fluid. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 41-52. http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a3/