Attractors for noncompact nonautonomous systems via energy equations.
The authors present an extension to the nonautonomous case of the energy equation for proving the existence of attractors for noncompact systems. To this end they generalize asymptotic compactness property and apply the extended theory to a nonautonomous Navier-Stokes system on an infinite channel past an obstacle, with time-dependent forcing and boundary conditions, and to a nonautonomous, weakly damped, forced Korteweg-de Vries equation on the real line.
weakly damped Korteweg-de Vries equation
scientific article; zbMATH DE number 2077730