Reformulation of multifluid plasma equation in terms of hyperbolic octonions

In this thesis, using the theoretical analogy between basic equations of electrodynamics and fluid dynamics, the Maxwell type equations of multifluid plasma are expressed in terms of hyperbolic octonions. The presented model allows us to generalize the species generalized Lamb vector and species generalized vorticity of plasma by a hyperbolic octonion. Thus, the basic equations of multifluid plasma are derived in a form similar to electromagnetic and gravitational counterparts previously given using this formalism. Keywords: Hyperbolic octonions; Maxwell equations; Plasma equations; Octonion algebra; Electromagnetic theory