| The present paper deals with dissipations of the system of1-dimensional motion viscous andheat-conductive fluid. While the viscous and heat-conduction equations pointwises estimates is oneof the important topic of thermal. For such problems, in recent years, many mathematicians have suchproblems studied, such as, T.Kobayashi and Y.Shibata[3]had been proved the solution ofthree-dimensional viscous heat conduction equations for fluid decay of estimates. While Weike Wang,Zejun Wang[1]and the Tai-Ping Liu, Weike Wang[2]had syudied other equations pointwiseestimates and achieved a series of research. In this paper, we consider attenuation issues for theequations solution of one-dimensional viscous heat-conduction for fluid, First, we need to introducedsome of the knowledge about this paper. Here main proof is divided into three parts. First, weconsider the first part of the solution is a disturbance in the normal state near, and linearization of theequations; The second part,we use the Green function and the Fourier transform this method receivepointwise estimates of solutions that linear equations; The third part, we use duhamel’s principlederived the original equations expression and derived by the Fourier transform method pointwiseestimates of the nonlinear part of the solution. |
