Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations

Details Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations

2011-12-19

arxiv.org/abs/1112.4407v2

Mathematics

Analysis of PDEs

Scientific paper

A relaxed notion of displacement convexity is defined and used to establish short time existence and uniqueness of Wasserstein gradient flows for higher order energy functionals. As an application, local and global well-posedness of different higher order non-linear evolution equations are derived. Examples include the thin-film equation and the quantum drift diffusion equation in one spatial variable.

Affiliated with

Also associated with

No associations

Rating

Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations 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 Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-213051