Mohammed, Salah; Zhang, Tusheng - In: Stochastic Processes and their Applications 122 (2012) 4, pp. 1887-1916
We study the dynamics of the Burgers equation on the unit interval driven by affine linear noise. Mild solutions of the Burgers stochastic partial differential equation generate a smooth perfect and locally compacting cocycle on the energy space. Using multiplicative ergodic theory techniques,...