Mathematics – Analysis of PDEs
Scientific paper
2011-01-23
Mathematics
Analysis of PDEs
Scientific paper
We prove the existence of a traveling wave solution for a boundary reaction diffusion equation when the reaction term is the combustion nonlinearity with ignition temperature. A key role in the proof is plaid by an explicit formula for traveling wave solutions of a free boundary problem obtained as singular limit for the reaction-diffusion equation (the so-called high energy activation energy limit). This explicit formula, which is interesting in itself, also allows us to get an estimate on the decay at infinity of the traveling wave (which turns out to be faster than the usual exponential decay).
Caffarelli Luis
Mellet Antoine
Sire Yannick
No associations
LandOfFree
Traveling waves for a boundary reaction-diffusion equation 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 Traveling waves for a boundary reaction-diffusion equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Traveling waves for a boundary reaction-diffusion equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-587267