Formation and Evolution of Singularities in Anisotropic Geometric Continua

Details Formation and Evolution of Singularities in Anisotropic Geometric Continua Formation and Evolution of Singularities in Anisotropic Geometric Continua

2006-08-23

arxiv.org/abs/nlin/0608054v4

Nonlinear Sciences

Adaptation and Self-Organizing Systems

38 pages, 4 figures. Physica D, submitted

Scientific paper

10.1016/j.physd.2007.04.022

Evolutionary PDEs for geometric order parameters that admit propagating singular solutions are introduced and discussed. These singular solutions arise as a result of the competition between nonlinear and nonlocal processes in various familiar vector spaces. Several examples are given. The motivating example is the directed self assembly of a large number of particles for technological purposes such as nano-science processes, in which the particle interactions are anisotropic. This application leads to the derivation and analysis of gradient flow equations on Lie algebras. The Riemann structure of these gradient flow equations is also discussed.

Affiliated with

Also associated with

No associations

Rating

Formation and Evolution of Singularities in Anisotropic Geometric Continua 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 Formation and Evolution of Singularities in Anisotropic Geometric Continua, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formation and Evolution of Singularities in Anisotropic Geometric Continua will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109938