论文标题
一维外力稳定粘性保护法
Stabilisation of a viscous conservation law by a one-dimensional external force
论文作者
论文摘要
我们研究了固定的外力和局部一维控制的驱动的阻尼标量保护法。该问题在有限的域中被考虑，并补充了Dirichlet边界条件。证明，不受控制的方程式的任何解决方案都可以成倍稳定。结果，我们通过一维局部控制获得了轨迹的全球近似可控性。
We study a damped scalar conservation law driven by the sum of a fixed external force and a localised one-dimensional control. The problem is considered in a bounded domain and is supplemented with the Dirichlet boundary condition. It is proved that any solution of the uncontrolled equation can be exponentially stabilised. As a consequence, we obtain the global approximate controllability to trajectories by a one-dimensional localised control.
