Orientation Waves in a Director Field With Rotational Inertia

Details Orientation Waves in a Director Field With Rotational Inertia Orientation Waves in a Director Field With Rotational Inertia

2006-09-07

arxiv.org/abs/math/0609189v1

Mathematics

Analysis of PDEs

Scientific paper

We study the propagation of orientation waves in a director field with rotational inertia and potential energy given by the Oseen-Frank energy functional from the continuum theory of nematic liquid crystals. There are two types of waves, which we call splay and twist waves. Weakly nonlinear splay waves are described by the quadratically nonlinear Hunter-Saxton equation. Here, we show that weakly nonlinear twist waves are described by a new cubically nonlinear, completely integrable asymptotic equation. This equation provides a surprising representation of the Hunter-Saxton equation as an advection equation. There is an analogous representation of the Camassa-Holm equation. We use the asymptotic equation to analyze a one-dimensional initial value problem for the director-field equations with twist-wave initial data.

Affiliated with

Also associated with

No associations

Rating

Orientation Waves in a Director Field With Rotational Inertia 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 Orientation Waves in a Director Field With Rotational Inertia, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orientation Waves in a Director Field With Rotational Inertia will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318054