On the strong solutions of the 3D magneto-micropolar equations

This paper is dedicated to the study of micropolar fluids which is moving in the presence of a magnetic field in R-3. We prove the global existence and uniqueness of strong solutions with initial data (u(0), w(0), b(0)) is an element of H-sigma(1) (R-3) x H-1(R-3) x H-sigma(1) (R-3) satisfying (parallel to u0 parallel to(2)(L2) + parallel to w0 parallel to + parallel to b(0)parallel to(2)(L2)) x (parallel to del(u0)parallel to(2)(L2) + parallel to del(w0)parallel to(2)(L2) + parallel to del(b0)parallel to(2)(L2) + parallel to curl u(0) - 2w(0)parallel to(2)(L2)) being small enough.

Automated summary

This paper is dedicated to studying micropolar fluids moving in the presence of a magnetic field in 3-dimensional space. We prove the global existence and uniqueness of strong solutions with small initial data.