Selim Esedoglu and Dejan Slepčev 2008 Nonlinearity 21 2759 doi:10.1088/0951-7715/21/12/002
Selim Esedoglu1 and Dejan Slepčev2
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We study coarsening phenomena observed in discrete, ill-posed diffusion equations that arise in a variety of applications, including computer vision, population dynamics and granular flow. Our results provide rigorous upper bounds on the coarsening rate in any dimension. Heuristic arguments and the numerical experiments we perform indicate that the bounds are in agreement with the actual rate of coarsening.
87.23.Cc Population dynamics and ecological pattern formation
02.30.Jr Partial differential equations
45.70.Mg Granular flow: mixing, segregation and stratification
76T25 Granular flows (See also 74C99, 74E20)
92D25 Population dynamics (general)
Issue 12 (December 2008)
Received 18 March 2008, in final form 27 August 2008
Published 13 November 2008
Selim Esedoglu and Dejan Slepčev 2008 Nonlinearity 21 2759
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