| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611568 | Journal of Differential Equations | 2012 | 30 Pages |
Abstract
The hydrodynamic limit for the Boltzmann equation to the compressible Euler equation as Knudsen number ε vanishes is a difficult and challenging problem in the mathematics. When the corresponding compressible Euler equation has a single rarefaction wave, Xin and Zeng (2010) [23], recently verified the hydrodynamic limit as ε tends to zero with a convergence rate . In this paper, the convergence rate of Xin and Zeng (2010) [23] is improved to by different scaling arguments.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
