Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

Details Energy dissipation and self-similar solutions for an unforced inviscid dyadic model Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

2008-11-11

arxiv.org/abs/0811.1689v1

Mathematics

Analysis of PDEs

30 pages, submitted to Trans. Amer. Math. Soc

Scientific paper

A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved and decay of energy like $t^{-2}$ is established. Self-similar decaying positive solutions are introduced and proved to exist and classified. Coalescence and blow-up are obtained as a consequence, in the class of arbitrary sign solutions.

Affiliated with

Also associated with

No associations

Rating

Energy dissipation and self-similar solutions for an unforced inviscid dyadic model 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 Energy dissipation and self-similar solutions for an unforced inviscid dyadic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy dissipation and self-similar solutions for an unforced inviscid dyadic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543708