| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611391 | Journal of Differential Equations | 2012 | 26 Pages |
Abstract
We consider the dynamics of the Total Variation Flow (TVF) ut=div(Du/|Du|) and of the Sign Fast Diffusion Equation (SFDE) ut=Δsign(u) in one spatial dimension. We find the explicit dynamic and sharp asymptotic behaviour for the TVF, and we deduce the one for the SFDE by an explicit correspondence between the two equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
