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| Piston Problems of Two-Dimensional Chaplygin Gas |
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Citation： |
Shuxing CHEN,Aifang QU.Piston Problems of Two-Dimensional Chaplygin Gas[J].Chinese Annals of Mathematics B,2019,40(6):843~868 |
| Page view： 673
Net amount： 557 |
Authors： |
Shuxing CHEN; Aifang QU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11421061, 11571357, 11871218). |
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| Abstract： |
In this paper, the authors study the piston problem for the unsteady
two-dimensional Euler system for a Chaplygin gas. The angle of the
piston is allowed to vary in a wide range. The piston can be pushed
forward into the static gas, or pulled back from the gas. The
global existence of solution to the piston problem with any initial
speed is established, and the structures of the global solutions are
clearly described. The authors find that for the proceeding piston
problem the front shock can be detached, attached or even adhere to
the surface of the piston depending on the parameters of the flow
and the piston; while for the receding problem the front rarefaction
wave is always detached and the concentration will never occur. |
Keywords： |
Multi-Dimensional piston problem, Proceeding, Receding, Mach number |
Classification： |
35L65, 35L67, 76L05, 76N10 |
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