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Interpolation and Comparison Methods in the Mean Field Spin Glass Model Read chapter Read first chapter

2014 | OriginalPaper | Chapter

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

Author : Juan Luis Vázquez

Published in: Trends in Contemporary Mathematics

Publisher: 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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previous chapter Monomial Transformations of the Projective Space
next chapter Challenges in Geometric Numerical Integration
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Metadata
Title
Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods
Author
Juan Luis Vázquez
Copyright Year
2014
Book
Trends in Contemporary Mathematics

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

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

Copyright Year: 2014

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

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