Asymptotic dynamics of a sixth-order integro-differential equation
Bosheng Chen, Changchun Liu · Applicable Analysis · 2021
We consider a sixth-order integro-differential equation with periodic boundary conditions. The equation describes the phase transition dynamics in ternary oil–water–surfactant systems. Using the energy methods and the basic dissipative estimate, we establish the required estimates. Furthermore, based on these estimates, we prove the existence of the attractors by a decomposition of the solution semigroup.