Nonlinear stability of stationary solutions for curvature flow with triple junction

Details Nonlinear stability of stationary solutions for curvature flow with triple junction Nonlinear stability of stationary solutions for curvature flow with triple junction

2008-02-21

arxiv.org/abs/0802.3036v1

Mathematics

Dynamical Systems

submitted

Scientific paper

In this paper we analyze the motion of a network of three planar curves with a speed proportional to the curvature of the arcs, having perpendicular intersections with the outer boundary and a common intersection at a triple junction. As a main result we show that a linear stability criterion due to Ikota and Yanagida is also sufficient for nonlinear stability. We also prove local and global existence of classical smooth solutions as well as various energy estimates. Finally, we prove exponential stabilization of an evolving network starting from the vicinity of a linearly stable stationary network.

Affiliated with

Also associated with

No associations

Rating

Nonlinear stability of stationary solutions for curvature flow with triple junction 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 Nonlinear stability of stationary solutions for curvature flow with triple junction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear stability of stationary solutions for curvature flow with triple junction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578781