Global attractor for a nonlinear viscoelastic model (Q2480330)

The authors prove the existence of global attractors of a semiflow and a semigroup generated by the global weak solutions for the nonlinear one-dimensional viscoelastic model: \[ y_{tt}= (\sigma(y_x))_x+ y_{xtx},\quad (x,t)\in (0,1)\times (0,+\infty), \] \[ y(0,t)= y(1, t)= 0,\quad t\geq 0 \] or \[ \sigma(y_x(0, t))= y(1, t)= 0,\quad t\geq 0 \] with the initial data \(y(x,0)= y_0(x)\), \(y_t(x,0)= y_1(x)\).