| 带非线性阻尼项的等熵欧拉方程组的整体解 |
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| 引用本文： | 朱旭生,熊显萍,涂爱花.带非线性阻尼项的等熵欧拉方程组的整体解[J].武汉大学学报(理学版),2011,57(2):93-99. |
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| 作者姓名： | 朱旭生 熊显萍 涂爱花 |
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| 作者单位： | 1. 华东交通大学基础科学学院,江西,南昌,330013
2. 兴义民族师范学院数学系,贵州,兴义,562400 |
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| 基金项目： | 江西省自然科学基金资助项目(2007GZS0811) |
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| 摘 要： | 研究带非线性阻尼项的一维等熵欧拉方程组的Cauchy问题,阻尼系数有正的下界.当初始数据是常状态附近的小扰动时,利用能量估计法,证明了经典解的整体存在.利用傅立叶分析法得到整体经典解在大时间时的衰减性.
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| 关 键 词： | 等熵欧拉方程组 非线性阻尼 能量估计 傅立叶变换 衰减估计 |
The Global Solutions of the Isentropic Euler Equations with Nonlinear Damping |
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| ZHU Xusheng,XIONG Xianping,TU Aihua.The Global Solutions of the Isentropic Euler Equations with Nonlinear Damping[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(2):93-99. |
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| Authors: | ZHU Xusheng XIONG Xianping TU Aihua |
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| Institution: | ZHU Xusheng1,XIONG Xianping2,TU Aihua1(1.School of Basic Science,East China Jiaotong University,Nanchang 330013,Jiangxi,China,2.Department of Mathematics,Xingyi Normal University for Nationalities,Xingyi 562400,Guizhou,China) |
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| Abstract: | The Cauchy problem for the 1-D isentropic Euler equations with nonlinear damping is investigated in this paper,while the damping efficient has a positive bound below.The global classic solution is obtained provided the initial data is a perturbation of a constant state by utilizing energy estimates.Moreover,the decays rates of the global solution are obtained by using Fourier transform method. |
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| Keywords: | the isentropic Euler equations nonlinear damping energy estimates Fourier transform decay estimates |
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