Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities

Details Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities

2010-07-16

arxiv.org/abs/1007.2837v1

Mathematics

Analysis of PDEs

Scientific paper

We analyze the rate of convergence towards self-similarity for the subcritical Keller-Segel system in the radially symmetric two-dimensional case and in the corresponding one-dimensional case for logarithmic interaction. We measure convergence in Wasserstein distance. The rate of convergence towards self-similarity does not degenerate as we approach the critical case. As a byproduct, we obtain a proof of the logarithmic Hardy-Littlewood-Sobolev inequality in the one dimensional and radially symmetric two dimensional case based on optimal transport arguments. In addition we prove that the one-dimensional equation is a contraction with respect to Fourier distance in the subcritical case.

Affiliated with

Also associated with

No associations

Rating

Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities 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 Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51812