[1]郑永树.具松弛项的欧拉方程组的整体光滑解[J].华侨大学学报(自然科学版),2004,25(2):121-125.[doi:10.3969/j.issn.1000-5013.2004.02.003]
　Zheng Yongshu.Globally Smoothing Solution to Euler’s Equations with Relaxation Term[J].Journal of Huaqiao University(Natural Science),2004,25(2):121-125.[doi:10.3969/j.issn.1000-5013.2004.02.003]
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具松弛项的欧拉方程组的整体光滑解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第25卷
期数:
2004年第2期
页码:
121-125
栏目:
出版日期:
2004-04-20

文章信息/Info

Title:
Globally Smoothing Solution to Euler’s Equations with Relaxation Term
文章编号:
1000-5013(2004)02-0121-05
作者:
郑永树
华侨大学数学系 福建泉州362011
Author(s):
Zheng Yongshu
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
气动力学方程组;  松弛项;  整体光滑解
Keywords:
aerodynamic equations;  relaxation term;  globally smoothing solution
分类号:
O241.81
DOI:
10.3969/j.issn.1000-5013.2004.02.003
文献标志码:
A
摘要:
研究具松弛项可压缩的欧拉方程组柯西问题 .在关于压力函数和次特征条件的假设下,如果初值的C1模具小性,且初始密度离开真空状态,证明其柯西问题存在唯一的整体光滑解 .
Abstract:
A study is made on Cauchy problem of compressible Euler’s equations with relaxation term.Taking pressure function and sub-characteristic condition as facts without proof, the globally smoothing solution to Cauchy problem of Euler’s equations is proved to be uniquely existed if initial value is in a small C ’ norm and initial density is away from state of vacuum.

参考文献/References:

[1] Yang Tong, Zhu Changjiang. Existence and non-existence of global smooth solutions for p-system with relaxation [J]. Journal of Giff Equs, 2000, (2):321-336.doi:10.1006/jdeq.2000.3710.
[2] Zhao Huijiang. Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions [J]. Journal of Differential Equations, 2000(1):198-222.doi:10.1006/jdeq.1999.3722.
[3] Natalini R. Convergence to equijibrium for the relaxation approximations of conservation laws [J]. Communications on Pure and Applied Mathematics, 1996(4):795-823.doi:10.1002/(SICI)1097-0312(199608)49:8< 795::AID-CPA2> 3.0.CO; 2-3.
[4] Li Caizhong, Liu Fagui. P-systems with relaxation [J]. 应用数学学报, 1997(1):61-69.
[5] 伍锦棠, 郑永树. 带非线性松弛项的半线性双曲组的整体光滑解 [J]. 华侨大学学报(自然科学版), 2003(2):131-135.doi:10.3969/j.issn.1000-5013.2003.02.004.
[6] Douglis A. Existence theorems for hyperbolic systems [J]. Communications on Pure and Applied Mathematics, 1952(2):119-154.
[7] 郑永树, 连碧龙. 欧拉坐标的气动力学方程组的整体光滑解 [J]. 华侨大学学报(自然科学版), 2000(4):337-343.doi:10.3969/j.issn.1000-5013.2000.04.002.

相似文献/References:

[1]郑永树,连碧龙.欧拉坐标的气动力学方程组的整体光滑解[J].华侨大学学报(自然科学版),2000,21(4):337.[doi:10.3969/j.issn.1000-5013.2000.04.002]
　Zheng Yongshu,Lian Bilong.A Globally Smooth Solution of Aerodynamic Equation Set in Eulerian Coordinate[J].Journal of Huaqiao University(Natural Science),2000,21(2):337.[doi:10.3969/j.issn.1000-5013.2000.04.002]

备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(03QZR9)
更新日期/Last Update: 2014-03-23