Decay On Solutions To Linear Thermoelastic Plate Equations With Memory

In this paper,the solution of a category of Kirchhoff thermoelastic plate equations with memory effect and its decay are studied,and the decay of the solution is proved under the reasonable assumption of memory kernel function.In the first chapter,the research significance and primary research achievements of the thermoelastic plate equation are briefly introduced;In the second chapter,the function space,the basic inequality and some results of the decay of the solution to the abstract linear system are introduced;In the third chapter,the decay of the solution to Kirchhoff’s thermoelastic plate equation with memory effect is proved by using semigroup theory and the results of linear gradient systems.