Mean curvature flow with positive random forcing in 2-d

Will Feldman
IAS and Univ. of Utah

I will discuss some history, new results, and potential future directions in the study of the forced mean curvature flow in heterogeneous random media. I am interested in front propagation / homogenization in the de-pinned case. Techniques from Hamilton-Jacobi homogenization have been successful for "large" forcing, but near the pinning transition the level set equation loses coercivity and there are many open issues.

Back to Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs