| EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION |
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| 作者姓名： | 阮立志 朱长江 |
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| 作者单位： | [1]LaboratoryofNonlinearAnalysis,Dept.ofMath.,CentralChinaNormalUniversity,Wuhan430079,China [2]DepartmentofAppliedMathematics,South-CentralUniversityforNationalities,Wuhan430074,China |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | This paper is concerned with the initial boundary value problem for a vis-coelastic model with relaxation. Under the only assumption that the C^0-norm of theinitial data is small, without smallness hypothesis for the C^1-norm, the existence of theglobal smooth solution to the corresponding initial boundary value problem is proved.The analysis is based on some a priori estimates obtained by the “maximum principle” offirst-order quasilinear hyperbolic system.
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| 关 键 词： | 存在性 全局光滑解 边值向题 初值向题 双曲型方程 |
| 收稿时间： | 24 April 2002 |
EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION |
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| Ruan Lizhi.EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION[J].Acta Mathematica Scientia,2004,24(2):265-274. |
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| Authors: | Ruan Lizhi |
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| Institution: | Ruan Lizhi~ |
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| Abstract: | This paper is concerned with the initial boundary value problem for a viscoelastic model with relaxation. Under the only assumption that the C0-norm of the initial data is small, without smallness hypothesis for the C1-norm, the existence of the global smooth solution to the corresponding initial boundary value problem is proved.The analysis is based on some a priori estimates obtained by the "maximum principle" of first-order quasilinear hyperbolic system. |
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| Keywords: | Viscoelastic model relaxation a priori estimates maximum principle |
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