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Momentum is considered on the basis of the approach widely used in the calculus of variations and in the optimal control theory, where variation of a cost functional is investigated. In physical theory, it is the action functional. Action variation under Lie dragging can be expressed as a surface integral of some differential form. The momentum density flow is defined using this form. In this work, the momentum balance equation is obtained. This equation shows that the momentum field transforms into a momentum of a mass. Examples showing the momentum flow structure for a mass distribution representing a uniform thin layer are provided.

vestnik sankt-peterburgskogo universiteta. seriâ 10, prikladnaâ matematika, informatika, processy upravleniâ/vestnik sankt-peterburgskogo universiteta. prikladnaâ matematika. informatika. processy upravleniâ

Оn momentum flow density of the gravitational field