| VISCOSITY METHOD OF A NON－HOMOGENEOUS BURGERS EQUATION |
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| 引用本文： | 丁夏畦,丁毅.VISCOSITY METHOD OF A NON－HOMOGENEOUS BURGERS EQUATION[J].数学物理学报(B辑英文版),2003,23(4):567-576. |
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| 作者姓名： | 丁夏畦 丁毅 |
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| 作者单位： | InstituteofAppliedMathematics,ChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | Abstract In 1], Ding et al. studied the nonhomogeneous Burgers equation ut uux = μuxx 4x.(1.1) This paper will prove that when μ → 0 the solution of (1.1) will approach the generalized solution of ut uux = 4x.(1.2) The authors notice that the equation (1.2) is beyond the scope of investigations by Oleinik O. in 2]. The solutions here are unbounded in general. The paper also studies the δ-wave phenomenon when (1.2) is jointed with some other equation.
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| 关 键 词： | 黏滞性方法 非齐次Burgers方程 广义解 Hopf方程 delta波 Cauchy问题 双曲型方程 |
| 收稿时间： | 11 December 2002 |
VISCOSITY METHOD OF A NON-HOMOGENEOUS BURGERS EQUATION |
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| Ding Xiaqi Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing ,China
Ding Yi.VISCOSITY METHOD OF A NON-HOMOGENEOUS BURGERS EQUATION[J].Acta Mathematica Scientia,2003,23(4):567-576. |
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| Authors: | Ding Xiaqi Institute of Applied Mathematics Chinese Academy of Sciences Beijing China
Ding Yi |
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| Institution: | Ding Xiaqi Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing 100080,China
Ding Yi Department of Mathematics,City University of New Jersey,U.S.A. |
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| Abstract: | In 1], Ding et al. studied the nonhomogeneous Burgers equationThis paper will prove that when μ→ 0 the solution of (1.1) will approach the generalizedsolution ofThe authors notice that the equation (1.2) is beyond the scope of investigations by OleinikO. in 2]. The solutions here are unbounded in general.The paper also studies the δ-wave phenomenon when (1.2) is jointed with some otherequation. |
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| Keywords: | Burgers equation Hopf equation nonhomogeneous equation |
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