@Article{AAM-32-1, author = {Guo , Boling and Xie , Binqiang}, title = {Existence and Uniqueness of Global Solutions of the Modified KS-CGL Equations for Flames Governed by a Sequential Reaction}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {1}, pages = {1--19}, 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 $|P|^{2σ}P,$ 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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20623.html} }