Magneto-micropolar fluid motion: Existence of weak solutions. (English) Zbl 0918.35114

Rojas-Medar, Marko A.; Boldrini, José Luiz

Rev. Mat. Complut. 11, No. 2, 443-460 (1998).

Summary: By using the Galerkin method, we prove the existence of weak solutions for the equations of the magneto-micropolar fluid motion in two and three dimensions in space. In the two-dimensional case, we also prove that such weak solution is unique. We also prove the reproductive property.

MSC:

35Q35	PDEs in connection with fluid mechanics
76W05	Magnetohydrodynamics and electrohydrodynamics
35D05	Existence of generalized solutions of PDE (MSC2000)

Keywords:

Galerkin method; magneto-micropolar fluid motion; reproductive property