TY - JOUR
T1 - Existence and Uniqueness of Global Solutions of the Modified KS-CGL Equations for Flames Governed by a Sequential Reaction
AU - Guo , Boling
AU - Xie , Binqiang
JO - Annals of Applied Mathematics
VL - 1
SP - 1
EP - 19
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20623.html
KW - existence and uniqueness, modified KS-CGL, global solutions.
AB - <p style="text-align: justify;">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.</p>