【摘要】 研究充分非线性Burgers方程:ut-kuxx+unux=0在Dirichlet边界条件下的最优控制问题.给出了边界条件下的充分非线性Burgers方程解的存在性以及解的稳定性;并给出了充分非线性Burgers方程的最优控制;证明了充分非线性Burgers方程的最优解的存在性.为进一步研究充分非线性Burgers方程的理论和工程技术应用提供了理论基础和依据.更多还原

【Abstract】 The optimal control of sufficient nonlinear Burgers equation is considered on the Dirichlet boundary condition. Firstly, the solution of sufficient nonlinear Burgers equation and stability of the solution of sufficient nonlinear Burgers equation are given. Then, optimal control sufficient nonlinear Burgers equation is described. Finally the existence of the optimal solution is considered. The results may contribute to further theoretical research or engineering applications.更多还原