Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape

Details Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape

2008-10-16

arxiv.org/abs/0810.2980v1

Mathematics

Dynamical Systems

Scientific paper

Using a vortex sheet method we prove global existence of a near circular initial bubble in a Hele-Shaw cell with surface tension and generally finite nonzero viscosity ratio between fluids inside and outside the bubble. The circular shape is shown to be asymptotically stable for all sufficiently smooth small perturbation. The initial condition in this case, while smooth, need not be analytic.

Affiliated with

Also associated with

No associations

Rating

Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape 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 Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368451