On the thermoelasticity with several dissipative mechanisms of type III

摘要

It is accepted that we cannot obtain the exponential decay of the solutions to the type III thermoelasticity when the dimension of the domain is greater than one. In this short note, we prove that we can show the exponential decay if we consider n2$$ {n}amp;amp;amp;amp;#x0005E;2 $$ type III dissipative mechanisms whenever the coupling terms satisfy a certain condition.