Consider the KdV equations with the external periodic excitation u t+uu x+u xxx +γu=f(t) , with f(t+T)=f(t). Prove the existence of attractors of resulting discrete semigroup {S(τ+mT)} m∈N .
文摘Consider the KdV equations with the external periodic excitation u t+uu x+u xxx +γu=f(t) , with f(t+T)=f(t). Prove the existence of attractors of resulting discrete semigroup {S(τ+mT)} m∈N .