| STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION |
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| 作者姓名： | 王治安 朱长江 |
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| 作者单位： | Wang Zhian Zhu ChangjiangLaboratory of Nonlinear Analysis，Department of Mathematics，Central China Normal University，Wuhan 430079，China Wuhan Institute of Physics and Mathematics，The Chinese Academy of Sciences，Wuhan 430071，China |
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| 基金项目： | the NSFC（10171037） |
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| 摘 要： | This paper is concerned with the stability of the rarefaction wave for the generalized KdV-Burgers equationRoughly speaking, under the assumption that u_ < u+, the solution u(x,t) to Cauchy problem (1) satisfying sup \u(x,t) -uR(x/t)| -0 as t - , where uR(x/t) is the rarefac-tion wave of the non- viscous Burgers equation ut + f(u)x=0 with Riemann initial data
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| 收稿时间： | 15 January 2001 |
STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION |
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| Wang Zhian,Zhu ChangjiangLaboratory of Nonlinear Analysis.STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION[J].Acta Mathematica Scientia,2002,22(3):319-328. |
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| Authors: | Wang Zhian Zhu ChangjiangLaboratory of Nonlinear Analysis |
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| Institution: | Wang Zhian Zhu ChangjiangLaboratory of Nonlinear Analysis,Department of Mathematics,Central China Normal University,Wuhan 430079,China Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 430071,China |
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| Abstract: | This paper is concerned with the stability of the rarefaction wave for the generalized KdV-Burgers equationRoughly speaking, under the assumption that u_ < u+, the solution u(x,t) to Cauchy problem (1) satisfying sup \u(x,t)-uR(x/t)\ -0 as t -, where uR(x/t) is the rarefac-tion wave of the non- viscous Burgers equation ut + f(u)x = 0 with Riemann initial data |
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| Keywords: | KdV-Burgers equation rarefaction wave a priori estimate L2-energy method 2000 MR Subject Classification 35L45 |
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