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, 33(5): 497-501,506.
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, 33(5): 497-501,506.
shu
PANG Yi-cheng, GU Hong-bo, YANG Han-chun. Cauchy problem for one-dimensional isentropic magnetogasdynamics[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(5): 497-501,506.
Citation: PANG Yi-cheng, GU Hong-bo, YANG Han-chun. Cauchy problem for one-dimensional isentropic magnetogasdynamics[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(5): 497-501,506.
shu

等熵磁气体动力学方程组的柯西问题

Cauchy problem for one-dimensional isentropic magnetogasdynamics

    摘要
  • 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.

     

    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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