Multifluid plasma equations in terms of hyperbolic octonions. (English) Zbl 1391.76870
Summary: Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of compressible fluids, an alternative reformulation has been proposed for the analogous multifluid plasma equations. In this paper, using both the fluid and electromagnetic behavior of the plasma, the compact and elegant expressions have been derived in terms of hyperbolic octonions as previously given for electromagnetic theory, linear gravity and fluid mechanics. Using the advantages of proposed model, the field equations of multifluid plasma have been combined in a single equation. Furthermore, the plasma wave equations in terms of generalized vorticity and Lamp vector have been expressed in a form similar to electromagnetic, gravitational counterparts previously given in relevant literature.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 76T30 | Three or more component flows |
| 76N15 | Gas dynamics (general theory) |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35Q61 | Maxwell equations |
| 35L05 | Wave equation |
| 11R52 | Quaternion and other division algebras: arithmetic, zeta functions |
| 83C22 | Einstein-Maxwell equations |
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