A set-valued framework for birth-and-growth process

Details A set-valued framework for birth-and-growth process A set-valued framework for birth-and-growth process

2008-05-26

arxiv.org/abs/0805.3912v1

Mathematics

Probability

Scientific paper

10.1051/ps/2010009

We propose a set-valued framework for the well-posedness of birth-and-growth process. Our birth-and-growth model is rigorously defined as a suitable combination, involving Minkowski sum and Aumann integral, of two very general set-valued processes representing nucleation and growth respectively. The simplicity of the used geometrical approach leads us to avoid problems arising by an analytical definition of the front growth such as boundary regularities. In this framework, growth is generally anisotropic and, according to a mesoscale point of view, it is not local, i.e. for a fixed time instant, growth is the same at each space point.

Affiliated with

Also associated with

No associations

Rating

A set-valued framework for birth-and-growth process 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 A set-valued framework for birth-and-growth process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A set-valued framework for birth-and-growth process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321197