### Global existence and asymptotic behavior for a viscous, heat-conductive, one-dimensional real gas with fixed and constant temperature boundary conditions

Yuming Qin

#### Abstract

This paper is concerned with the global existence and asymptotic behaviour, as time tends to infinity, of solutions to the system for a nonlinear viscous, heat-conductive, one-dimensional real gas. Our results show that the global solution approaches to the solution in the $H^1$ norm to the corresponding stationary problem, as time tends to infinity.

#### Article information

Source
Adv. Differential Equations, Volume 7, Number 2 (2002), 129-154.

Dates
First available in Project Euclid: 27 December 2012