Phasefield theory for fractional diffusion-reaction equations and applications

Details Phasefield theory for fractional diffusion-reaction equations and applications Phasefield theory for fractional diffusion-reaction equations and applications

2009-07-31

arxiv.org/abs/0907.5524v1

Mathematics

Analysis of PDEs

41 pages

Scientific paper

This paper is concerned with diffusion-reaction equations where the classical diffusion term, such as the Laplacian operator, is replaced with a singular integral term, such as the fractional Laplacian operator. As far as the reaction term is concerned, we consider bistable non-linearities. After properly rescaling (in time and space) these integro-differential evolution equations, we show that the limits of their solutions as the scaling parameter goes to zero exhibit interfaces moving by anisotropic mean curvature. The singularity and the unbounded support of the potential at stake are both the novelty and the challenging difficulty of this work.

Affiliated with

Also associated with

No associations

Rating

Phasefield theory for fractional diffusion-reaction equations and applications 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 Phasefield theory for fractional diffusion-reaction equations and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phasefield theory for fractional diffusion-reaction equations and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-267681