Geometrical dissipation for dynamical systems

Details Geometrical dissipation for dynamical systems Geometrical dissipation for dynamical systems

2011-09-15

arxiv.org/abs/1109.3296v1

Mathematics

Dynamical Systems

Scientific paper

On a Riemannian manifold $(M,g)$ we consider the $k+1$ functions $F_1,...,F_k,G$ and construct the vector fields that conserve $F_1,...,F_k$ and dissipate $G$ with a prescribed rate. We study the geometry of these vector fields and prove that they are of gradient type on regular leaves corresponding to $F_1,...,F_k$. By using these constructions we show that the cubic Morrison dissipation and the Landau-Lifschitz equation can be formulated in a unitary form.

Affiliated with

Also associated with

No associations

Rating

Geometrical dissipation for dynamical systems 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 Geometrical dissipation for dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometrical dissipation for dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673245