Diffusion and interfaces in pattern formation

Details Diffusion and interfaces in pattern formation Diffusion and interfaces in pattern formation

2006-03-19

arxiv.org/abs/q-bio/0603023v1

Biology

Quantitative Biology

Molecular Networks

Scientific paper

We discuss several qualitative properties of the solutions of reaction-diffusion systems and equations of the form $u_t = \epsilon^2 D \Delta u + f(u,x,\epsilon t)$, that are used in modeling pattern formation. We analyze the diffusion neutral and the diffusion dependent situations that, in the time autonomous case, are distinguished by considering the attractors of the shorted equation $u_t = f(u,x)$. We discuss the consequences of being in one or in the other of the two situations and present examples from developmental biology and from fluid mechanics.

Affiliated with

Also associated with

No associations

Rating

Diffusion and interfaces in pattern formation 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 Diffusion and interfaces in pattern formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion and interfaces in pattern formation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170565