On iterating concentration and periodic regimes at the anomalous diffusion in polymers

Details On iterating concentration and periodic regimes at the anomalous diffusion in polymers On iterating concentration and periodic regimes at the anomalous diffusion in polymers

2009-11-09

arxiv.org/abs/0911.1716v1

Mat. Sb., 201:1 (2010), 59-80

Mathematics

Analysis of PDEs

26 pages, in Russian

Scientific paper

Diffusion of a penetrating liquid in a polymeric material does not often satisfy the classical diffusion equations and requires taking relaxational (viscoelastic) properties of the polymer into account. We investigate a boundary value problem on a bounded domain in space for the set of equations modelling this abnormal diffusion. It is proved that, for any sufficiently short time segment and any stress prescribed at the beginning of this segment, there exists a global in time weak solution of the boundary value problem (a pair: concentration - stress) such that the concentrations at the beginning and at the end of the segment are the same. Under an additional assumption on coefficients, existence of time-periodic weak solutions (without any restrictions of the period length) is shown.

Affiliated with

Also associated with

No associations

Rating

On iterating concentration and periodic regimes at the anomalous diffusion in polymers 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 iterating concentration and periodic regimes at the anomalous diffusion in polymers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On iterating concentration and periodic regimes at the anomalous diffusion in polymers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-660506