LONG-TIME BEHAVIOR AND STABILITY FOR QUASILINEAR DOUBLY DEGENERATE PARABOLIC EQUATIONS OF HIGHER ORDER
We study the long-time behavior of solutions to quasilinear doubly degenerate parabolic problems of fourth order. The equations model, for instance, the dynamic behavior of a non-Newtonian thin-film flow on a flat impermeable bottom and with zero contact angle. We consider a shear-rate dependent fluid the rheology of which is described by a constitutive power law or Ellis law for the fluid viscosi