MAGNETOHYDRODYNAMICS'S TYPE EQUATIONS OVER CLIFFORD ALGEBRAS

Abstract

We study a system of equations modeling the stationary motion of incompressible electrical conducting fluid. Based on methods of Clifford analysis, we rewrite the system of magnetohydrodynamics fluid in the hypercomplex formulation and represent its solution in Clifford operator terms.

Keywords:

• Clifford algebras
• Clifford analysis
• Dirac operator
• magnetohydrodynamics's type equations
• fluid equations