| EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE |
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| 引用本文： | 陈静 徐学文. EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE[J]. 数学物理学报(B辑英文版), 2007, 27(2): 430-436. DOI: 10.1016/S0252-9602(07)60043-5 |
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| 作者姓名： | 陈静 徐学文 |
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| 作者单位： | Laboratory of Nonlinear Analysis Department of Mathematics Central China Normal University，Laboratory of Nonlinear Analysis Department of Mathematics，Central China Normal University，Wuhan 430079，China，Wuhan 430079，China |
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| 基金项目： | 国家自然科学基金，教育部科学技术研究项目 |
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| 摘 要： | This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.
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| 关 键 词： | 标量守恒定律 简并粘度 二维空间 傅里叶变换 全局平滑解 声波 |
| 收稿时间： | 2005-06-29 |
Existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space |
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| Jing Chen,Xuewen Xu. Existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space[J]. Acta Mathematica Scientia, 2007, 27(2): 430-436. DOI: 10.1016/S0252-9602(07)60043-5 |
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| Authors: | Jing Chen Xuewen Xu |
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| Affiliation: | aLaboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle. |
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| Keywords: | Fourier transform successive approximation maximum principle |
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