Existence of solutions for a quasi-linear phase separation of multi-component system
Date
2018-03-18
Authors
Zhang, Dongpei
Liu, Ruikuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Multi-component system, Acute angle principle, T-weakly continuous operators, Global weak solution
Citation
Zhang, D.,& Liu, R. (2018). Existence of solutions for a quasi-linear phase separation of multi-component system. <i>Electronic Journal of Differential Equations, 2018</i>(76), pp. 1-13.
Rights
Attribution 4.0 International