Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

In this article, we study the piezoelectric beams with thermal and magnetic effects in presence of a nonlinear damping term acting on mechanical equation. First, prove that system is well-posed sense semigroup theory. And by constructing suitable Liapunov functional, show general decay result solution for from which polynomial exponential are only special cases. Furthermore, our does not depend any relationship between parameters.