| 具常重特征的非齐次拟线性双曲组的整体弱间断解 |
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| 引用本文： | 郭飞.具常重特征的非齐次拟线性双曲组的整体弱间断解[J].数学研究及应用,2012,32(6):699-714. |
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| 作者姓名： | 郭飞 |
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| 作者单位： | 南京师范大学数学科学学院, 江苏省大规模复杂系统数值模拟重点实验室, 江苏 南京 210046 |
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| 基金项目： | 国家自然科学基金资助项目(Grant No.11071141, 11271192), 中国博士后科研资助基金(Grant No.20100481161), 江苏省博士后科研资助计划(Grant No.1001042C), 江苏省青蓝工程; 江苏省高校自然科学基础研究项目(Grant No.11KJA110001), 江苏省基础研究计划(自然科学基金) (Grant No.BK2011777). |
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| 摘 要： | This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem.
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| 关 键 词： | inhomogeneous quasilinear hyperbolic system characteristic with constant multiplicity Cauchy problem global weakly discontinuous solution weak linear degeneracy matching condition. |
| 收稿时间： | 2/8/2011 12:00:00 AM |
| 修稿时间： | 9/1/2011 12:00:00 AM |
Global Weakly Discontinuous Solutions for Inhomogeneous Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity |
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| Fei GUO.Global Weakly Discontinuous Solutions for Inhomogeneous Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity[J].Journal of Mathematical Research with Applications,2012,32(6):699-714. |
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| Authors: | Fei GUO |
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| Institution: | School of Mathematical Sciences and Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, Jiangsu 210023, P. R. China |
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| Abstract: | This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem. |
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| Keywords: | inhomogeneous quasilinear hyperbolic system characteristic with constant multiplicity Cauchy problem global weakly discontinuous solution weak linear degeneracy matching condition |
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