Quasi-gasdynamic equations for gas flows with external heat sources

Global existence and asymptotic behavior

Global existence and asymptotic behavior for the compressible Navier–Stokes equations with a non-autonomous external force and a heat source

✍ Yuming Qin; Xiaona Yu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

## Abstract In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in __H__^__i__^ (__i__=1, 2) to the initial boundary value problem of the compressible Navier–Stokes equations of one‐dimensional motion of a viscous heat‐conducting gas in a bo