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| Stability of Rarefaction Wave to the 1-D Piston Problem for the Pressure-Gradient Equations |
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Citation： |
Min DING.Stability of Rarefaction Wave to the 1-D Piston Problem for the Pressure-Gradient Equations[J].Chinese Annals of Mathematics B,2019,40(2):161~186 |
| Page view： 2040
Net amount： 1676 |
Authors： |
Min DING; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos. 11626176, 11701435) and the Fundamental
Research Funds for the Central Universities of China (Nos.
2018IB015, 2018IVB013). |
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| Abstract： |
The 1-D piston problem for the pressure gradient equations arising
from the flux-splitting of the compressible Euler equations is
considered. When the total variations of the initial data and the
velocity of the piston are both sufficiently small, the author
establishes the global existence of entropy solutions including a
strong rarefaction wave without restriction on the strength by
employing a modified wave front tracking method. |
Keywords： |
Piston problem, Pressure gradient equations, Rarefaction wave, Wavefront tracking method, Interaction of waves |
Classification： |
35A01, 35L50, 35Q35, 35R35, 76N10 |
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