Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates

Details Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates

2012-03-28

arxiv.org/abs/1203.6156v1

Mathematics

Analysis of PDEs

Scientific paper

We are concerned with the long-time behavior of the growth-fragmentation equation. We prove fine estimates on the principal eigenfunctions of the growth-fragmentation operator, giving their first-order behavior close to 0 and $+\infty$. Using these estimates we prove a spectral gap result by following the technique in [Caceres, Canizo, Mischler 2011, JMPA], which implies that solutions decay to the equilibrium exponentially fast. The growth and fragmentation coefficients we consider are quite general, essentially only assumed to behave asymptotically like power laws.

Affiliated with

Also associated with

No associations

Rating

Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates 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 Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271827