| 含有源项的特殊欧拉方程组整体弱解存在性(Ⅰ):特殊源项 |
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| 引用本文： | 宋国强,肖箭,盛立人. 含有源项的特殊欧拉方程组整体弱解存在性(Ⅰ):特殊源项[J]. 安徽大学学报(自然科学版), 2009, 33(1) |
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| 作者姓名： | 宋国强 肖箭 盛立人 |
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| 作者单位： | 1. 南京航空航天大学,航空宇航学院,江苏,南京,210016;安徽医科大学,卫生管理学院,安徽,合肥,230032
2. 安徽大学,数学科学学院,安徽,合肥,230039 |
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| 摘 要： | 双曲守恒律是一类重要的偏微分方程,欧拉方程组是流体动力学中最基本的双曲守恒律方程组.利用粘性消失法和最大值原理,并借助于补偿列紧理论建立非严格双曲方程组——含有特殊原项的特定欧拉方程组的整体弱解的存在原理.
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| 关 键 词： | 弱解 粘性消失法 最大值原理 补偿列紧理论 熵-熵流对 源 Dirac测度 |
Existence of global weak solutions to a special system of Euler equation with a source(I):special case |
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| SONG Guo-qiang,XIAO Jian,SHENG Li-ren. Existence of global weak solutions to a special system of Euler equation with a source(I):special case[J]. Journal of Anhui University(Natural Sciences), 2009, 33(1) |
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| Authors: | SONG Guo-qiang XIAO Jian SHENG Li-ren |
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| Affiliation: | 1.College of Aerospace Engineering;Nanjing University of Aeronautics and Astronautics;Nanjing 210016;China;2.College of Health Administration;Anhui Medical University;Hefei 230032;3.School of Mathematical Sciences;Anhui University;Hefei 230039;China |
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| Abstract: | Hyperbolic conservation laws were one of the most important classes of non-linear partial differential equations.The Euler equations in gas dymanics were one basic class of hyperbolic conservation laws.In the paper,we applied the method of the vanishing viscosity and the maximum principle together with the theory of compensated compactness to established an existence theorem of global weak solutions for the Cauchy problem of the non-strictly hyperbolic system-a special system of Euler equation with a specia... |
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| Keywords: | weak solution method of the vanishing viscosity maximum principle theory of compensated compactness entropy-entropy flux pair source dirac measure |
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