Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs

Details Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs

2009-01-27

arxiv.org/abs/0901.4314v1

Mathematics

Analysis of PDEs

41 pages, 10 figures

Scientific paper

The origin of non self-similar blow-up in higher-order reaction-diffusion (parabolic), wave (hyperbolic) and nonlinear dispersion equations is explained by a combination of various methods. Some links and similarities with double-log blow-up terms occurring in earlier studies of plasma physics second-order parabolic equations and the nonlinear critical Schr\"odinger equation are discussed. On the other hand, the log-log factor obtained in Petrovskii's boundary regularity study of a paraboloid vertex for the heat equation in 1934 was the first its appearance in PDE theory.

Affiliated with

Also associated with

No associations

Rating

Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs 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 Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blow-up in higher-order reaction-diffusion and wave equations: how $\sqrt{log log}$ factor occurs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362523