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| Centered Waves for the Two-dimensional Pseudo-Steady van der Waals Gas Satisfied Maxwell’s Law Around a Sharp Corner |
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Citation： |
Shuangrong LI,Wancheng SHENG.Centered Waves for the Two-dimensional Pseudo-Steady van der Waals Gas Satisfied Maxwell’s Law Around a Sharp Corner[J].Chinese Annals of Mathematics B,2024,45(4):537~554 |
| Page view： 403
Net amount： 166 |
Authors： |
Shuangrong LI; Wancheng SHENG |
Foundation： |
the National Natural Science Foundation of China (No. 12171305). |
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| Abstract： |
In this paper, the authors study the centered waves for the two-dimensional
(2D for short) pseudo-steady supersonic flow with van der Waals gas satisfied Maxwell’s
law around a sharp corner. In view of the initial value of the specific volume and the
properties of van der Waals gas, the centered waves at the sharp corner are constructed
by classification. It is shown that the supersonic incoming flow turns the sharp corner
by a centered simple wave or a centered simple wave with right-contact discontinuity or
a composite wave (jump-fan, fan-jump or fan-jump-fan), or a combination of waves and
constant state. Moreover, the critical angle of the sharp corner corresponding to the
appearance of the vacuum phenomenon is obtained. |
Keywords： |
Two-dimensional Euler equations, Van der Waals gas, Centered simple
wave, Composite wave |
Classification： |
35L65, 35L50, 76J20, 76N10 |
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