[1]陈安全,郑永树.强迫拟线性波动方程的初值问题[J].华侨大学学报(自然科学版),2006,27(4):348-350.[doi:10.3969/j.issn.1000-5013.2006.04.003]
　Chen Anquan,Zheng Yongshu.The Initial Value Problems of Forced Quasilinear Wave Equation[J].Journal of Huaqiao University(Natural Science),2006,27(4):348-350.[doi:10.3969/j.issn.1000-5013.2006.04.003]
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强迫拟线性波动方程的初值问题()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第4期
页码:
348-350
栏目:
出版日期:
2006-10-20

文章信息/Info

Title:
The Initial Value Problems of Forced Quasilinear Wave Equation
文章编号:
1000-5013(2006)04-0348-03
作者:
陈安全; 郑永树
华侨大学数学系; 华侨大学数学系 福建泉州362021; 福建泉州362021
Author(s):
Chen Anquan;  Zheng Yongshu
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
非线性耗散项;  强迫拟线性波动方程;  先验估计;  整体光滑解
Keywords:
nonlinear dissipation;  forced quasilinear wave equations;  priori estimate;  globally smooth solution
分类号:
O175.8
DOI:
10.3969/j.issn.1000-5013.2006.04.003
文献标志码:
A
摘要:
研究具非线性耗散项的强迫拟线性波动方程的初值问题.对初值的C0模不加小性限制,而需其一阶导数的C0模足够小.利用几个关键的先验估计,证明初值问题的整体光滑解的存在性.
Abstract:
We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.Not requiring that the C~0 norm of the initial data is small but the C~0 norm of the firstorder derivative is sufficiently small,and using some prior estimates,we prove the existence of the global smooth solutions for the initial value problem.

参考文献/References:

[1] 朱长江, 赵会江. 一类拟线性波动方程解的存在性、唯一性和稳定性 [J]. 数学年刊, 1997(2):223-234.
[2] Nishida T. Nonlinear hyperbolic equations and related topics in fluid dynamics [M]. Paris:Paris-Sud, 1978.46-53.
[3] Slemrod M. Instability of steaty shearing flow in a nonlinear viscoeleatic fluid [J]. Archive for Rational Mechanics and Analysis, 1978(2):211-225.
[4] Yang Tong, Zhu Changjiang, Zhao Huijiang. Global smooth solutions for a class of guasilinear hyprebolic systems with dissipative terms [J]. Proceedings of the Royal Society of Edinburgh Section A, 1997.1311-1324.
[5] 朱长江, 李才中, 赵会江. 一类非严格双曲型方程整体光滑解的存在性 [J]. 数学物理学报, 1994(1):96-106.

相似文献/References:

[1]陈安全,郑永树.具非线性耗散项的p-方程组的整体光滑解[J].华侨大学学报(自然科学版),2008,29(2):305.[doi:10.11830/ISSN.1000-5013.2008.02.0305]
　CHEN An-quan,ZHENG Yong-shu.The Global Smooth Solutions for the Initial Value Problem of the Nonlinear Damped p-System[J].Journal of Huaqiao University(Natural Science),2008,29(4):305.[doi:10.11830/ISSN.1000-5013.2008.02.0305]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(A97020)
更新日期/Last Update: 2014-03-23