EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS OF THE MODIFIED KS-CGL EQUATIONS FOR FLAMES GOVERNED BY A SEQUENTIAL REACTION

• 作者: Binqiang Xie Boling Guo
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2016,（1）
• 页码范围: 1-19
• 页数: 19页
• 分类号: O1

摘要

In this paper, we are concerned with the existence and uniqueness of global solutions of the modified KS-CGL equations for flames governed by a sequential reaction, where the term |P|~2P is replaced with the generalized form |P|~(2σ)P,see [18]. The main novelty compared with [18] in this paper is to control the norms of the first order of the solutions and extend the global well-posedness to three dimensional space.