| CONVERGENCE RATES TO TRAVELLING WAVES FOR A RELAXATION MODEL WITH LARGE INITIAL DISTURBANCE |
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| 作者姓名： | 张辉 赵引川 |
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| 作者单位： | [1]DepartmentofMathematics,BeijingNormalUniversity,Beijing100825,China [2]InstituteofComputationalMathematicsandScientific/EngineeringComputing,AcademyofMathematicsandSystemSciences,TheChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | This paper is concerned with the convergence rates to traveUmg waves for a relaxation model with general flux functions. Compared with former results in thisdirection, the main novelty in this paper lies in the fact that the initial disturbance can bechosen large in suitable norm. Our analysis is based on the L^1-stability results obtainedby C. Macia and R. Natalini in 12].
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| 关 键 词： | 收敛率 行波 通量函数 弛豫模型 双曲型方程组 |
| 收稿时间： | 28 February 2002 |
CONVERGENCE RATES TO TRAVELLING WAVES FOR A RELAXATION MODEL WITH LARGE INITIAL DISTURBANCE |
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| Zhanq Hui.CONVERGENCE RATES TO TRAVELLING WAVES FOR A RELAXATION MODEL WITH LARGE INITIAL DISTURBANCE[J].Acta Mathematica Scientia,2004,24(2):213-227. |
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| Authors: | Zhanq Hui |
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| Institution: | Zhanq Hui Department of Mathematics,Beijing Normal University,Beijing 100825,China Zhao Yinchuan Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences,The Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | This paper is concerned with the convergence rates to travelling waves for a relaxation model with general flux functions. Compared with former results in this direction, the main novelty in this paper lies in the fact that the initial disturbance can be chosen large in suitable norm. Our analysis is based on the L1-stability results obtained by C. Mascia and R. Natalini in 12]. |
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| Keywords: | Convergence rate relaxation travelling waves large initial disturbance |
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