| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615410 | Journal of Mathematical Analysis and Applications | 2015 | 7 Pages |
Abstract
We study isentropic gas flow in a divergent nozzle with friction. It is physically known that the flow is influenced by friction. In this paper, we investigate the mathematical effect of the friction on solutions. We first construct approximate solutions by using the Godunov scheme and the fractional step procedure. We obtain the bounded estimate by the invariant region. This is the difficult point of the present paper. We use the compensated compactness to prove their convergence. Finally, we prove the existence of global solutions with arbitrary L∞L∞ data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Naoki Tsuge,