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ABSTRACT In this paper, we study a Cahn–Hilliard type equation with inertial term, which arises in dynamics of phase transitions in ternary oil–water–surfactant systems. We use regularity estimates for the… Click to show full abstract
ABSTRACT In this paper, we study a Cahn–Hilliard type equation with inertial term, which arises in dynamics of phase transitions in ternary oil–water–surfactant systems. We use regularity estimates for the semigroups and a classical existence theorem of global attractor to derive that the sixth-order Cahn–Hilliard equation with possesses a global attractor. Using a lemma on the ordinary differential inequality of a second order, we prove the blow-up of the solution for the initial-boundary problem with .
Keywords:
order;
equation inertial;
type equation;
hilliard type;
equation;
cahn hilliard
Journal Title: Applicable Analysis
Year Published: 2018
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Journal Title: Applicable Analysis
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!