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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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Denzler, Jochen, McCann, Robert J.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 2003
Schlagworte:
Online Zugang: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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