一类反应扩散方程系统的渐近稳定性

The asymptotic stabilizability of a reaction-diffusion system

用无穷维动力系统的方法研究了一类反应扩散系统的渐近稳定性.在齐次边界条件下证明了系统在其不变流行上的全局吸引子为系统在该不变流行内的唯一平衡点,从而证明了该系统的渐近稳定性.

The long time behaviour of a reaction-diffusion system by the infinite dimensional dynamical systems method is studied. At the same time, we find the conditions which can make the global attractor of the reaction-diffusion system to be the unique equilibrium point in the invariant region under homogeneous boundary conditions, then asymptotic stabilizability of the system is proved.