Condensed Matter


Sedeonic Equations of Ideal Fluid

Authors: Victor L. Mironov, Sergey V. Mironov

In the present paper we propose the generalized equations for ideal fluid based on space-time algebra of sixteen-component sedeons. It is shown that the dynamics of isentropic fluid can be described by sedeonic first-order wave equation for fluid potentials. The key features of the proposed formalism are illustrated on the problem of the sound waves propagation. We consider the plane wave solution of linearized sedeonic wave equation and derive the second-order relations for the sound potentials analogues to the Pointing theorem in electrodynamics. The generalization of proposed sedeonic equations for the description of viscous fluid is also discussed.

Comments: 12 Pages. Revised version

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Submission history

[v1] 2016-01-12 03:04:40
[v2] 2016-01-12 05:19:30
[v3] 2016-01-18 06:37:11
[v4] 2017-10-17 02:15:41

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