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Phase transitions and symmetry breaking in singular diffusion

The long-time asymptotics are determined for fast nonlinear diffusion by linearizing Otto's gradient descent model at the Barenblatt profile. The spectrum of the entropy is explicitly determined. The dynamics are found to undergo a phase transition in which rotational symmetry is broken as the...

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Bibliografische gegevens
Hoofdauteurs: Denzler, Jochen, McCann, Robert J.
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: National Academy of Sciences 2003
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC165805/
https://ncbi.nlm.nih.gov/pubmed/12766227
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1231896100
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