本文研究具有记忆项的热弹耦合梁方程组,同时考虑热传导方程和梁方程中的两个记忆项,用Faedo-Galerkin方法证明整体弱解的存在性,唯一性及对初值的连续依赖性.
The paper is devoted to the investigation of thermoelastic coupled beam equations with memory terms.Two memory terms both in the heat conduct equation and in the beam equation are considered.Existence,uniqueness and continuous dependence upon initial data of the global weak solution are proved by the Faedo-Galerkin method.