| 气体动力学等熵流2个疏散波的相互作用 |
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| 引用本文： | 张通,谷应丽,杨汉春. 气体动力学等熵流2个疏散波的相互作用[J]. 云南大学学报(自然科学版), 2007, 29(5): 443-448 |
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| 作者姓名： | 张通 谷应丽 杨汉春 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 摘 要： | 考虑气体动力学中等熵流前向中心疏散波与后向中心疏散波的相互作用问题.借助特征分析法,对在相互作用区域上形成的Goursat问题,首先证明了当其特征边值不出现真空状态时,在相互作用的任何区域内也不会出现真空;同时证明了该问题存在唯一的光滑解.进而获得两疏散波相互作用的结果为相互穿透或在穿透过程中出现真空.
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| 关 键 词： | 气体动力学等熵流 疏散波 Goursat问题 一致先验估计 真空 |
| 文章编号： | 0258-7971（2007）05-0443-06 |
| 修稿时间： | 2006-11-18 |
Interaction between two rarefaction waves for gas dynamic isentropic equatins |
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| ZHANG Tong,GU Ying-li,YANG Han-chun. Interaction between two rarefaction waves for gas dynamic isentropic equatins[J]. Journal of Yunnan University(Natural Sciences), 2007, 29(5): 443-448 |
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| Authors: | ZHANG Tong GU Ying-li YANG Han-chun |
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| Affiliation: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | The interaction between forward and backward centred rarefaction waves for gas dynamic isentropic system is onsidered.For the Goursat problem developed in the domain of the interaction,with the help of characteristic analysis,it is proved that there will never appear vacuum in the field of interaction when there is no vacuum on the characteristic boundary.Meanwhile,the existence and uniqueness of the smooth solution is obtained.Further,the result of interaction for two rarefaction waves is presented,that is they penetrate each other or the vacuum appears in the process of the penetration. |
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| Keywords: | Gas dynamic isentropic equations rarefaction wave Goursat problem uniform a priori estimate vacuum |
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