The global solution and nonlinear stability for the coupled CGL–Burgers equations for sequential flames in ℝN-Reference-Cited by-同舟云学术

The global solution and nonlinear stability for the coupled CGL–Burgers equations for sequential flames in ℝN

Published:2016-05-03 Issue:04 Volume:15 Page:477-504
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Wu Xinglong¹,Guo Boling²

Affiliation:

1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, P. R. China

2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China

Abstract

The present paper is devoted to the study of the global solution and nonlinear stability to the coupled complex Ginzburg–Landau and Burgers (CGL–Burgers) equations for sequential flames which describe the interaction of the excited oscillatory and the damped monotonic mode governing a sequential chemical reaction. If the solution blows up in finite time, we derive the lower bound of blow-up rate of blow-up solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530516500044

Reference25 articles.

1. The world of the complex Ginzburg-Landau equation

2. Core instability and spatiotemporal intermittency of spiral waves in oscillatory media

3. Fourier Analysis and Nonlinear Partial Differential Equations

4. Theory of Laminar Flames

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