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| EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS OF THE MODIFIED KS-CGL EQUATIONS FOR FLAMES GOVERNED BY A SEQUENTIAL REACTION |
| Boling Guo,Binqiang Xie |
| (Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P.R. of China;The Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing, 100088, P.R. of China) |
| DOI： |
| Abstract: |
| 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|2σP, 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. |
| Key words: existence and uniqueness; modified KS-CGL; global solutions |