| 一类线性双曲型方程Goursat问题的能量估计 |
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| 引用本文： | 闵建中. 一类线性双曲型方程Goursat问题的能量估计[J]. 上海理工大学学报, 2012, 34(6): 531-534 |
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| 作者姓名： | 闵建中 |
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| 作者单位： | 上海医疗器械高等专科学校 基础部,上海200093 |
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| 基金项目： | 上海市09优青基金资助项目(5110508008);上海医疗器械高等专科学校科研启动基金资助项目(A07251110x) |
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| 摘 要： | 在位势流模型下,研究了超音速气流过二维斜坡的弱激波解的存在唯一性.该问题的关键是证明其相应线性问题的先验能量估计.先通过部分速度图变换,将拟线性双曲方程的自由边值问题化简为固定边值问题,然后通过待定系数法,选择适当的积分因子,进行分部积分,结合问题本身的边界条件,获得了相应线性Goursat问题的能量估计.从而用相对简单的方法获得了与文献[1-2]类似的结果.
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| 关 键 词： | 弱激波 位势流 超音速流 |
Energy Estimation of Goursat Problems for A Class of Linear Hyperbolic Equation |
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| MIN Jian zhong. Energy Estimation of Goursat Problems for A Class of Linear Hyperbolic Equation[J]. Journal of University of Shanghai For Science and Technology, 2012, 34(6): 531-534 |
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| Authors: | MIN Jian zhong |
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| Affiliation: | MIN Jian-zhong(Basic Course Department,Shanghai Medical Instrumentation College,Shanghai 200093,China) |
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| Abstract: | The local existence and uniqueness of weak shock solution in steady supersonic potential flow passing along a 2-dimensional wedge were discussed.The free boundary problem was transferred to a fixed boundary problem by part hodograph transform.Then by choosing a proper multiplier and integrating by parts,the energy estimation of the linear Goursat problem of the hyperbolic equation can be carried out in an easier way. |
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| Keywords: | weak shock potential flow supersonic flow |
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