Structure and rigidity of functions in with gradients taking only three values

R Moser - Proceedings of the London Mathematical Society, 2018 - Wiley Online Library
Consider a function u∈ BV loc 2 (R 2) such that∇ u takes values in a fixed set of three
vectors almost everywhere. This condition implies that u is piecewise affine away from a …

Adaptive Localized Replay: An efficient integration scheme for accurate simulation of coarsening dynamical systems

SA Norris, S Tweedie - Journal of Computational Physics, 2014 - Elsevier
Coarsening dynamical systems (CDS) of ordinary differential equations (ODEs) have as a
defining feature the presence of discontinuities in the governing equations, due to the …