论文标题
边界反馈稳定与部分耗散结构的准双曲系统
Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure
论文作者
论文摘要
在本文中，我们研究了具有部分耗散结构的准双线双曲线系统的边界反馈稳定。借助此结构，我们构建了合适的Lyapunov功能，该功能可导致$ H^2 $解决方案的平衡指数稳定性。作为应用程序，我们还获得了物理边界条件下的圣维特 - 外观模型的反馈稳定。
In this paper, we study the boundary feedback stabilization of a quasilinear hyperbolic system with partially dissipative structure. Thanks to this structure, we construct a suitable Lyapunov function which leads to the exponential stability to the equilibrium of the $H^2$ solution. As an application, we also obtain the feedback stabilization for the Saint-Venant-Exner model under physical boundary conditions.
