Electrified thin films: Global existence of non-negative solutions

Details Electrified thin films: Global existence of non-negative solutions Electrified thin films: Global existence of non-negative solutions

2011-02-04

arxiv.org/abs/1102.0949v4

Mathematics

Analysis of PDEs

To appear in Annales de l'IHP, analyse non-lin\'eaire. Minor modifications after reading proofs

Scientific paper

We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The effects of the electric field are modeled by a lower order non-local term. We introduce the good functional analysis framework to study this equation on a bounded domain and prove the existence of weak solutions defined globally in time for general initial data (with finite energy).

Affiliated with

Also associated with

No associations

Rating

Electrified thin films: Global existence of non-negative solutions 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 Electrified thin films: Global existence of non-negative solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electrified thin films: Global existence of non-negative solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-491958