Homogenization of the G-equation with incompressible random drift in two dimensions

Details Homogenization of the G-equation with incompressible random drift in two dimensions Homogenization of the G-equation with incompressible random drift in two dimensions

2010-10-29

arxiv.org/abs/1011.0016v1

Mathematics

Analysis of PDEs

Scientific paper

We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regime of thin flames. For a fluid velocity field that is statistically stationary and ergodic, we prove sufficient conditions for homogenization to hold with probability one. These conditions are expressed in terms of travel times for the associated control problem. When the spatial dimension is equal to two and the fluid velocity is divergence-free, we verify that these conditions hold under suitable assumptions about the growth of the random stream function.

Affiliated with

Also associated with

No associations

Rating

Homogenization of the G-equation with incompressible random drift in two dimensions 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 Homogenization of the G-equation with incompressible random drift in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogenization of the G-equation with incompressible random drift in two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404823