Existence of solutions for a quasi-linear phase separation of multi-component system

Abstract

This article formulates a new model of the phase separation of multi-component system, which is a fourth-order quasi-linear evolution partial differential equation. By using the acute angle principle, we obtain a weak solution of the corresponding steady-state equations. In addition, we show that the quasi-linear dynamic equations have at least one global weak solution, based on the T-weakly continuous operators theory.

Keywords

• Multi-component system
• the acute angle principle
• T-weakly continuous operators
• global weak solution