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Erschienen in:
Interpolation and Comparison Methods in the Mean Field Spin Glass Model Kapitel lesen Erstes Kapitel lesen

2014 | OriginalPaper | Buchkapitel

9. Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods

verfasst von : Juan Luis Vázquez

Erschienen in: Trends in Contemporary Mathematics

Verlag: Springer International Publishing

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Abstract

We report on recent progress in the study of nonlinear diffusion equations in which the author has been involved. The main topic we discuss here is the use of entropy methods to obtain a precise description of the asymptotic behaviour of the solutions of evolution problems posed in the whole space. A detailed account is given of the analysis of the fast diffusion flow for low values of the equation exponent, which entails a delicate entropy analysis via weighted linearization. Connections and extensions are mentioned.

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Vorheriges Kapitel Monomial Transformations of the Projective Space
Nächstes Kapitel Challenges in Geometric Numerical Integration
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Metadaten
Titel
Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods
verfasst von
Juan Luis Vázquez
Copyright-Jahr
2014
Buch
Trends in Contemporary Mathematics

Print ISBN: 978-3-319-05253-3

Electronic ISBN: 978-3-319-05254-0

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-05254-0_9