Numerical and analytical techniques are used to investigate the effects of quenched disorder of small-world networks on the phase ordering dynamics of lamellar patterns as modeled by the Swift–Hohenberg equation. Morphologies for small and large values of the network randomness are quite...

The equation of motion for an interface in the presence of a gravitational field is considered, when the order parameter is conserved. The kinetic drumhead model is derived directly from the Cahn-Hilliard equation without recourse to the drumhead free energy. We append a systematic derivation of...

The emphasis is laid upon the presence of a dynamic parameter in the kinetic model of the dynamics of dilute polymer solutions. The parameter represents the strength of dynamical polymer-solvent interactions. The draining effect on transport properties is considered with due attention paid to...