화학공학소재연구정보센터
Applied Mathematics and Optimization, Vol.81, No.2, 479-509, 2020
Weak Solutions to Unsteady and Steady Models of Conductive Magnetic Fluids
We study a nonlinear coupling system of partial differential equations describing the dynamic of a magnetic fluid with internal rotations. The present mathematical model generalizes those discussed previously in the literature since actually the fluid is electrically conducting inducing additional nonlinearities in the problem and the dynamics of the magnetic field is described by the quasi-static Maxwell equations instead of the usual magnetostatic ones. We prove existence of weak solutions with finite energy first for the unsteady problem then for the steady one.