Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space

Details Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space

2009-09-18

arxiv.org/abs/0909.3548v2

Mathematics

Analysis of PDEs

60 pages, no figures

Scientific paper

We study semilinear wave equations with Ginzburg-Landau type nonlinearities multiplied by a factor $\epsilon^{-2}$, where $\epsilon>0$ is a small parameter. We prove that for suitable initial data, solutions exhibit energy concentration sets that evolve approximately via the equation for timelike Minkowski minimal surfaces, as long as the minimal surface remains smooth. This gives a proof of predictions made, on the basis of formal asymptotics and other heuristic arguments, by cosmologists studying cosmic strings and domain walls, as well as by applied mathematicians.

Affiliated with

Also associated with

No associations

Rating

Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space 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 Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485652