Exponential attractor for the wave equation with structural damping and supercritical exponent

Source abstract

The paper studies the existence of an exponential attractor for the wave equation with structural damping and supercritical nonlinearity [Formula: see text]. By constructing a bounded absorbing set with higher global regularity (rather than the long-standing partial regularity) and by using the weak quasi-stability estimates (rather than the strong ones as usual), we establish the existence of an exponential attractor in the natural energy space.