On Leray's problem for almost periodic flows

Details On Leray's problem for almost periodic flows On Leray's problem for almost periodic flows

2010-12-08

arxiv.org/abs/1012.1726v1

Mathematics

Analysis of PDEs

Scientific paper

We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semi-infinite cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almost-periodic functions the proof is based on a detailed variational analysis of a linear "inverse" problem, while in the Besicovitch setting the proof follows by a precise analysis in wave-numbers. Next, we use our results to construct a unique almost periodic solution to the so called "Leray's problem" concerning 3D fluid motion in two semi-infinite cylinders connected by a bounded reservoir. In the case of Stepanov functions we need a natural restriction on the size of the flux, while for Besicovitch solutions certain limitations on the generalized Fourier coefficients are requested.

Affiliated with

Also associated with

No associations

Rating

On Leray's problem for almost periodic flows 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 On Leray's problem for almost periodic flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Leray's problem for almost periodic flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558436