Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis

Details Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis

2009-08-31

arxiv.org/abs/0908.4493v1

Journal of Mathematical Biology 63 (2011) 1-32

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00285-010-0357-5

In two space dimensions, the parabolic-parabolic Keller--Segel system shares many properties with the parabolic-elliptic Keller--Segel system. In particular, solutions globally exist in both cases as long as their mass is less than 8?. However, this threshold is not as clear in the parabolic-parabolic case as it is in the parabolic-elliptic case, in which solutions with mass above 8? always blow up. Here we study forward self-similar solutions of the parabolic-parabolic Keller--Segel system and prove that, in some cases, such solutions globally exist even if their total mass is above 8?, which is forbidden in the parabolic-elliptic case.

Affiliated with

Also associated with

No associations

Rating

Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis 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 Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220439