【摘要】 在区域[0,1]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.更多还原

【Abstract】 The boundary control of MKdV-Burgers equation was considered by feedback control on the domain.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.更多还原