On the Weak Solution to the Equations of Antiferromagnets

Abstract

This paper is concerned with the global existence of weak solutions to the periodic initial value problem of the system of antiferromagnets. Using the Galerkin method and Aubin-Lions Lemma, we get the existence of weak solutions. Some regularity results are also given

Keywords:

• Equations of antiferromagnets
• weak solutions
• existence
• regularity