Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses

Details Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses

2003-12-13

arxiv.org/abs/math/0312276v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

We study a two-phase modified Stefan problem modeling solid combustion and nonequilibrium phase transition. The problem is known to exhibit a variety of non-trivial dynamical scenarios. We develop a priori estimates and establish well-posedness of the problem in weighted spaces of continuous functions. The estimates secure sufficient decay of solutions that allows for an analysis in Hilbert spaces. We demonstrate existence of compact attractors in the weighted spaces and prove that the attractor consists of sufficiently regular functions. This allows us to show that the Hausdorff dimension of the attractor is finite.

Affiliated with

Also associated with

No associations

Rating

Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses 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 Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-445233