The Weak solutions and reproductive property for a system of evolution equations of magnetohydrodynamic type
Rojas Medar, Marko A.
Boldrini, José Luiz
By using the Galerkin method, we prove the existence of weak solutions for a system of equations of magnetohydrodynamic type. In the two-dimensional case, we prove that the weak solution is unique. We also prove the reproductive property and comment about the regularity of periodic solutions.