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Total Variation Flow and Sign Fast Diffusion in one dimension

Authors :
Bonforte, Matteo
Figalli, Alessio
Source :
Journal of Differential Equations. Apr2012, Vol. 252 Issue 8, p4455-4480. 26p.
Publication Year :
2012

Abstract

Abstract: We consider the dynamics of the Total Variation Flow (TVF) and of the Sign Fast Diffusion Equation (SFDE) 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. [Copyright &y& Elsevier]

Subjects

Subjects :
*FLOWS (Differentiable dynamical systems)
*DIFFUSION
*DYNAMICS
*HEAT equation
*DIMENSIONS
*ASYMPTOTIC theory of algebraic ideals
*DIFFERENTIAL equations

Details

Language :
English
ISSN :
00220396
Volume :
252
Issue :
8
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
71765999
Full Text :
https://doi.org/10.1016/j.jde.2012.01.003
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