Existence and Uniqueness of Global Solutions of the Modified KS-CGL Equations for Flames Governed by a Sequential Reaction

Existence and Uniqueness of Global Solutions of the Modified KS-CGL Equations for Flames Governed by a Sequential Reaction

Year:    2016

Author:    Boling Guo, Binqiang Xie

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2016-AAM-20623

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 1 : pp. 1–19

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    existence and uniqueness modified KS-CGL global solutions.

Author Details

Boling Guo

Binqiang Xie