Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis

Details Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis

2002-03-08

arxiv.org/abs/math/0203089v1

Mathematics

Analysis of PDEs

17 pages, 3 figures

Scientific paper

We establish a comparison between Rakib--Sivashinsky and Michelson-Sivashinsky quasilinear parabolic differential equations governing the weak thermal limit of upward flame front propagating in a channel. For the former equation, we give a complete description of all steady solutions and present their local and global stability analysis. For the latter, multi-coalescent unstable steady solutions are introduced and shown to be exponentially more numerous than the previous known coalescente solutions. This fact is argued to be responsible for the disagreement of the observed dynamics in numerical experiments with the exact (linear) stability analysis and also gives the ingredients to describe the quasi-stable behavior of parabolic steadily propagating flame with centered tip.

Affiliated with

Also associated with

No associations

Rating

Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rakib-Sivashinsky and Michelson-Sivashinsky Equations for Upward Propagating Flames: A Comparison Analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-186963