Abstract
We study the propagation of initial oscillations in the solutions of one-dimensional inviscid gas dynamic equations and the compressible Navier-Stokes equations. Using multiple scale analysis, we derive the homogenized equations which take the form of an averaged system coupled with a dynamic cell-problem. We prove rigorous error estimates to justify the validity of these equations. We also show that the weak limits of the oscillatory solutions satisfy gas dynamic equations with an equation of state depending on the microstructure of the initial data. Copyright.
Original language | English (US) |
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Pages (from-to) | 545-552 |
Number of pages | 8 |
Journal | Communications in Partial Differential Equations |
Volume | 17 |
Issue number | 3-4 |
DOIs | |
State | Published - Jan 1 1992 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics