• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

Fast diffusion equations: matching large time asymptotics by relative entropy methods

Toscani, Giuseppe; Dolbeault, Jean (2011), Fast diffusion equations: matching large time asymptotics by relative entropy methods, Kinetic and Related Models, 4, 3, p. 701-716. http://dx.doi.org/10.3934/krm.2011.4.701

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00482898/fr/
Date
2011
Journal name
Kinetic and Related Models
Volume
4
Number
3
Publisher
American Institute of Mathematical Sciences
Pages
701-716
Publication identifier
http://dx.doi.org/10.3934/krm.2011.4.701
Metadata
Show full item record
Author(s)
Toscani, Giuseppe
Dolbeault, Jean cc
Abstract (EN)
A non self-similar change of coordinates provides improved matching asymptotics of the solutions of the fast diffusion equation for large times, compared to already known results, in the range for which Barenblatt solutions have a finite second moment. The method is based on relative entropy estimates and a time-dependent change of variables which is determined by second moments, and not by the scaling corresponding to the self-similar Barenblatt solutions, as it is usually done.
Subjects / Keywords
asymptotic expansion; second moment; sharp rates; intermediate asymptotics; Fast diffusion equation; porous media equation; Barenblatt solutions; Hardy-Poincaré inequalities; large time behaviour; optimal constants

Related items

Showing items related by title and author.

  • Thumbnail
    Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods 
    Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno (2017) Article accepté pour publication ou publié
  • Thumbnail
    Improved interpolation inequalities, relative entropy and fast diffusion equations 
    Toscani, Giuseppe; Dolbeault, Jean (2013) Article accepté pour publication ou publié
  • Thumbnail
    Improved Sobolev's inequalities, relative entropy and fast diffusion equations 
    Toscani, Giuseppe; Dolbeault, Jean (2011) Document de travail / Working paper
  • Thumbnail
    Asymptotics of the fast diffusion equation via entropy estimates 
    Grillo, Gabriele; Vazquez, Juan-Luis; Blanchet, Adrien; Bonforte, Matteo; Dolbeault, Jean (2009) Article accepté pour publication ou publié
  • Thumbnail
    Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays 
    Dolbeault, Jean; Toscani, Giuseppe (2016) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo