Concentration phenomena for neutronic multigroup diffusion in random environments

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

27 pages

Scientific paper

We study the asymptotic behavior of the principal eigenvalue of a weakly coupled, cooperative linear elliptic system in a stationary ergodic heterogeneous medium. The system arises as the so-called multigroup diffusion model for neutron flux in nuclear reactor cores, the principal eigenvalue determining the criticality of the reactor in a stationary state. Such systems have been well-studied in recent years in the periodic setting, and the purpose of this work is to obtain results in random media. Our approach connects the linear eigenvalue problem to a system of quasilinear viscous Hamilton-Jacobi equations. By homogenizing the latter, we characterize the asymptotic behavior of the eigenvalue of the linear problem and exhibit some concentration behavior of the eigenfunctions.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Concentration phenomena for neutronic multigroup diffusion in random environments 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 Concentration phenomena for neutronic multigroup diffusion in random environments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Concentration phenomena for neutronic multigroup diffusion in random environments will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-120150

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.