Abstract: In this paper. we make some comparisons between the solutions for Narier-Stokesequation and those.for heat conduction equation.In his study of Navier-Stokes equation.Professor J.Leray. a Frenehmathematician and authority on partial differential equation, starting from heatconduction equation, obtained some results of properly posed of certain initialboundary value problems of Navier-Stokes equation. Professor R. Temam of University de Paris XI and other experts in this field also brought up the possibility ofcomparing these two classes of equations. This paper attempts to describe and provethe.fundamental difference between these two.

Key words: passive vibration control, mechanical receptance, energy dissipate power, damping elements