Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 39, pp. 1-14.

Title: Decay estimates of heat transfer to melton polymer
       flow in pipes with viscous dissipation
        
Authors: Dongming Wei (Univ. of New Orleans, Louisiana, USA)
         Zhengbu Zhang (Tulane Univ., New Orleans, LA,  USA)

Abstract: 
 In this work, we compare a parabolic equation with an elliptic equation
 both of which are used in modeling temperature profile of a power-law 
 polymer flow in  a semi-infinite straight pipe with circular cross section. 
 We show that both models are well-posed and we derive exponential 
 rates of convergence of the two solutions to the same steady state
 solution away from the entrance. We also show estimates for difference 
 between the two solutions in terms of physical data.
  
Submitted March 3, 2001. Published May 29, 2001.
Math Subject Classifications: 35B45, 76D03, 80A20.
Key Words: Heat transfer; decay estimates; pipes; power-law flow.