| 广义BBM-Burgers 方程稀疏波解的稳定性(英文) |
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| 引用本文： | 蒋咪娜,徐艳玲.广义BBM-Burgers 方程稀疏波解的稳定性(英文)[J].华中师范大学学报(自然科学版),2002,36(3):276-280. |
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| 作者姓名： | 蒋咪娜 徐艳玲 |
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| 作者单位： | 华中师范大学,数学系,非线性分析实验室,武汉,430079 |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofChina( 10 1710 37) . |
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| 摘 要： | 考察了如下广义BBM Burgres方程ut+f(u) x =uxx+uxxt,u｜t =0 =uo(x)→u±,x→∞ . ( 1)稀疏波解的稳定性 ,即在u-0 ,的解 .
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| 关 键 词： | 广义BBM－Burgers方程 稀疏波解 稳定性 先验估计 L^2－能量方法 Cauchy问题 无粘Burgers方程 |
Stability of the rarefaction wave for the generalized BBM-Burgers equation |
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| Jiang Mina,Xu Yanling.Stability of the rarefaction wave for the generalized BBM-Burgers equation[J].Journal of Central China Normal University(Natural Sciences),2002,36(3):276-280. |
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| Authors: | Jiang Mina Xu Yanling |
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| Abstract: | This paper is concerned with the stability of the rarefaction wave for the generalized BBM-Burgers equation ut+f(u)x=uxx+uxxt, u|t=0=uo(x)→u±, x→∞.(1) under the assumption of u-＜u+, the solution u(x,t) to Cauchy problem (1) satisfies supx∈R|u(x,t)-uR(x/t)|→0 as t→∞, where uR(x/t) is the rarefaction wave of the non-viscous Burgers equation ut+f(u)x=0 with Riemann initial data u(x,0)=u-, x＜0, u+, x＞0. |
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| Keywords: | BBM-Burgers equation rarefaction wave a priori estimate L2-energy method |
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