| 等熵磁气体动力学方程组的柯西问题 |
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| 引用本文： | 庞一成,顾洪波,杨汉春.等熵磁气体动力学方程组的柯西问题[J].云南大学学报(自然科学版),2011,0(5):497. |
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| 作者姓名： | 庞一成 顾洪波 杨汉春 |
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| 作者单位： | 云南大学数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10961025) |
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| 摘 要： | 研究等熵磁气体动力学方程组的柯西问题.在初值是连续且分片光滑函数的假设下,首先证明了当初始时刻不出现真空时,解中也不会出现真空.其次,证明了该柯西问题存在唯一的连续且分片光滑的整体解.
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| 关 键 词： | 等熵磁气体动力学方程组 柯西问题 古尔沙问题 整体解 |
Cauchy problem for one-dimensional isentropic magnetogasdynamics |
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| PANG Yi-cheng,GU Hong-bo,YANG Han-chun.Cauchy problem for one-dimensional isentropic magnetogasdynamics[J].Journal of Yunnan University(Natural Sciences),2011,0(5):497. |
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| Authors: | PANG Yi-cheng GU Hong-bo YANG Han-chun |
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| Institution: | PANG Yi-cheng,GU Hong-bo,YANG Han-chun(Department of Mathematics,Yunnan University,Kunming 650091,China) |
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| Abstract: | Cauchy problem for isentropic magnetogasdynamics is studied.Under hypotheses of continuous and piecewise smooth initial data,when there is no vacuum at the initial time,it is firstly proven that the vacuum never appears in solutions.Second,it is proven that the Cauchy problem admits a unique global continuous and piecewise smooth solution. |
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| Keywords: | isentropic magnetogasdynamics Cauchy problem Goursat problem global solution |
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