Destruction of the family of steady states in the planar problem of Darcy convection

Details Destruction of the family of steady states in the planar problem of Darcy convection Destruction of the family of steady states in the planar problem of Darcy convection

2008-03-02

arxiv.org/abs/0803.0094v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 6 figures

Scientific paper

10.1016/j.physleta.2008.07.006

The natural convection of incompressible fluid in a porous medium causes for some boundary conditions a strong non-uniqueness in the form of a continuous family of steady states. We are interested in the situation when these boundary conditions are violated. The resulting destruction of the family of steady states is studied via computer experiments based on a mimetic finite-difference approach. Convection in a rectangular enclosure is considered under different perturbations of boundary conditions (heat sources, infiltration). Two scenario of the family of equilibria are found: the transformation to a limit cycle and the formation of isolated convective patterns.

Affiliated with

Also associated with

No associations

Rating

Destruction of the family of steady states in the planar problem of Darcy convection 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 Destruction of the family of steady states in the planar problem of Darcy convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Destruction of the family of steady states in the planar problem of Darcy convection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-359580