Mathematics – Analysis of PDEs
Scientific paper
2011-07-27
Mathematics
Analysis of PDEs
Withdrawn
Scientific paper
We introduce a periodic two-dimensional $\mu$-$b$-equation and a periodic two-dimensional two-component $(\mu)$-Camassa-Holm equation which we study as geodesic flows on the diffeomorphism group of the torus and a semidirect product respectively. The paper explains the derivation of these equations within V.I. Arnold's (1966) general framework, some analogies to recently discussed related equations and gives a self-contained presentation of the geometric aspects. As an application, we obtain well-posedness results and some explicit curvature computations.
No associations
LandOfFree
The periodic two-dimensional $μ$-$b$-equation as an EPDiff equation 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 The periodic two-dimensional $μ$-$b$-equation as an EPDiff equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The periodic two-dimensional $μ$-$b$-equation as an EPDiff equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-112852