MKdV-Burgers方程的边界控制

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基金项目: 国家自然科学基金资助项目(10071033);江苏省自然科学资金资助项目(BK2002003)

Boundary Control of MKdV-Burgers Equation

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China;

摘要: 在区域上利用反馈控制律研究MKdV-Burgers方程的边界控制问题．首先给出MKdV-Burgers方程在边界条件下存在局部经典解，在此基础上给出方程的解先验性估计，随后利用反馈控制律证明MKdV-Burgers方程的弱解的存在性以及解的全局指数稳定性、渐进稳定性．
- 边界控制 /
- 反馈控制 /
- MKdV-Burgers方程
Abstract: The boundary control of MKdV_Burgers equation was considered by feedback control on the domain[0,1].The existence of the solution of MKdV_Burgers equation with the feedback control law was proved.On the base,priori estimates for the solution was given.At last,the existence of the weak solution of MKdV_Burgers equation was proved and global_exponential and asymptotic stability of the solution of MKdV_Burgers equation was given.
- Boundary control /
- feedback control law /
- MKdV_Burgers equation

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