Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension

Details Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension

2011-08-13

arxiv.org/abs/1108.2742v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

We study an initial value problem for two-dimensional needle crystal growth with anisotropic surface tension. The initial value problem is derived from the so called one-sided model based on complex variables method. We then obtain the existence and uniqueness of local solution of the needle crystal problem for any initial interface. Furthermore, we obtain that, on average in time, the solution gains 3/2 derivative of smoothness in spatial variable compared to the initial data. The continuous dependence on the initial data of the solution map is also established.

Affiliated with

Also associated with

No associations

Rating

Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension 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 Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local smoothing effect and existence for a needle crystal growth problem with anisotropic surface tension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635810