A non-monotone conservation law for dune morphodynamics

Details A non-monotone conservation law for dune morphodynamics A non-monotone conservation law for dune morphodynamics

2007-09-21

arxiv.org/abs/0709.3360v1

Differential and integral equations 23 (2010) 155--188

Mathematics

Analysis of PDEs

26 p

Scientific paper

We investigate a non-local non linear conservation law, first introduced by A.C. Fowler to describe morphodynamics of dunes, see \cite{Fow01, Fow02}. A remarkable feature is the violation of the maximum principle, which allows for erosion phenomenon. We prove well-posedness for initial data in $L^2$ and give explicit counterexample for the maximum principle. We also provide numerical simulations corroborating our theoretical results.

Affiliated with

Also associated with

No associations

Rating

A non-monotone conservation law for dune morphodynamics 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 non-monotone conservation law for dune morphodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-monotone conservation law for dune morphodynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256425