| 带阻尼项的欧拉方程初边值问题的经典解 |
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| 引用本文： | 熊显萍,朱旭生. 带阻尼项的欧拉方程初边值问题的经典解[J]. 天津师范大学学报(自然科学版), 2014, 0(1): 16-19 |
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| 作者姓名： | 熊显萍 朱旭生 |
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| 作者单位： | [1]兴义民族师范学院数学系,贵州兴义562400 [2]华东交通大学基础科学学院,南昌330013 |
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| 基金项目： | 国家自然科学基金资助项目（11161021） |
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| 摘 要： | 研究一维空间中带非线性阻尼项的等熵欧拉方程Dirichlet初边值问题经典解的整体存在唯一性.在其初边值问题局部解存在的条件下,利用能量估计的方法,得到当初值在平衡解附近小扰动时,非线性阻尼项对方程组解的存在性没有影响,其经典解仍整体存在唯一.
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| 关 键 词： | 非线性阻尼项 等熵欧拉方程 初边值问题 |
Classical solution of initial-boundary value problem for Euler equations with damping |
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| XIONG Xianping,ZHU Xusheng. Classical solution of initial-boundary value problem for Euler equations with damping[J]. Journal of Tianjin Normal University(Natural Science Edition), 2014, 0(1): 16-19 |
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| Authors: | XIONG Xianping ZHU Xusheng |
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| Affiliation: | 1. Department of Mathematics, Xingyi Normal University for Nationalities, Xingyi 562400, Guizhou Province 2. School of Basic Science, East China Jiaotong University, Nanchang 330013, China) |
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| Abstract: | The global existence and uniqueness of the classical solution for Dirichlet initial-boundary value problem for one-dimensional isentropie Euler equations with nonlinear damping is studied. On Condition that the local solution for the initial-boundary value problem is existed, it is obtained that with perturbation of the initial value, the nonlinear damping does not influence the existence of the solution, the classical solution is still existed and unique, by using energy estimates. |
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| Keywords: | nonlinear damping isentropic Euler equations initial-boundary value problem |
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