| 零压等熵的磁场气体动力学系统的柯西问题 |
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| 引用本文： | 禹旺勋,王爱菊,刘云涛.零压等熵的磁场气体动力学系统的柯西问题[J].价值工程,2013(2):311-313. |
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| 作者姓名： | 禹旺勋 王爱菊 刘云涛 |
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| 作者单位： | 昆明理工大学津桥学院;云南师范大学商学院 |
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| 基金项目： | 云南省教育厅科学研究基金项目“一类非线性扩散系统的变分方法研究”(2011Y004)资助 |
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| 摘 要： | 零压等熵的磁场气体动力学方程组是等熵的磁场气体动力学系统在忽略压力效应后而得到的数学模型,本文主要研究零压等熵的磁场气体动力学方程组的一类初值问题,本文研究该系统的柯西问题,借助局部解的存在唯一性定理,通过一致先验估计,在适当的初值假设条件下,证明了该柯西问题整体C1解的存在唯一性,并给出古典解的生命期估计。
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| 关 键 词： | 等熵的磁场气体动力学系统 零压等熵的磁场气体动力学方程组 柯西问题 |
Cauchy Problem for Zero-pressure Isentropic Magnetogasdynamics Equations |
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| YU Wang-xun; WANG Ai-ju; LIU Yun-tao.Cauchy Problem for Zero-pressure Isentropic Magnetogasdynamics Equations[J].Value Engineering,2013(2):311-313. |
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| Authors: | YU Wang-xun; WANG Ai-ju; LIU Yun-tao |
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| Institution: | ① YU Wang-xun;② WANG Ai-ju;① LIU Yun-tao(①Oxbridge College of Kunming University of Science and Technology,Kunming 650106,China;②Yunnan Normal University Business School,Kunming 650106,China) |
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| Abstract: | Zero-pressure isentropic magnetogasdynamics equations is a mathematical model obtained by neglecting pressure in the isentropic magnetogasdynamics systems,In this thesis Cauchy problem for the systems is studied.With the help of theorem of the local existence and uniqueness,by using uniform a priori estimates,under suitable condition of initial values,the global existence and uniqueness of C1 solutions is proved,and the life span of classical solutions is given. |
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| Keywords: | isentropic magnetogasdynamics systems zero-pressure isentropic magnetogasdynamics equations Cauchy problem |
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