English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper deals with the spherically symmetric flow of compressible viscousand polytropic ideal fluid in unbounded domain exterior to a ball in$\mathbb{R}^n$ with $n\ge2$. We show that the global solutions are convergentas time goes to infinity. The critical step is obtaining the point-wise boundof the specific volume $v(x,t)$ and the absolute temperature $\theta(x,t)$ fromup and below both for $x$ and $t$. Note that the initial data can bearbitrarily large and, compared with \cite{nn}, our method applies to thespatial dimension $n=2.$ The proof is based on the elementary energy methods.

Large-time behavior for spherically symmetric flow of viscous polytropic gas in exterior unbounded domain with large initial data