Startseite
English
Erweiterte Suche
Durchblättern nach ...
Publikationen im Überblick
Ansprechpartner
Hilfe
DOI
 |
|
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
Infinite dimensional attractors for porous medium equations in heterogeneous medium.
Math. Meth. Appl. Sci. 35, 1987-1996 (2012)
In this paper, we give a detailed study of the global attractors for porous medium equations in a heterogeneous medium. Not only the existence but also the infinite dimensionality of the global attractors is obtained by showing that their ϵ-Kolmogorov entropy behaves as a polynomial of the variable 1 ∕ ϵ as ϵ tends to zero, which is not observed for non-degenerate parabolic equations. The upper and lower bounds for the Kolmogorov ϵ-entropy of infinite-dimensional attractors are also obtained. We believe that the method developed in this paper has a general nature and can be applied to other classes of degenerate evolution equations.
Altmetric
Weitere Metriken?
Zusatzinfos bearbeiten
[➜Einloggen]
Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
porous-medium equation; infinite dimensional global attractor; Kolmogorov ϵ-entropy
ISSN (print) / ISBN
0170-4214
e-ISSN
1099-1476
Zeitschrift
Mathematical Methods in the Applied Sciences
Quellenangaben
Band: 35,
Heft: 16,
Seiten: 1987-1996
Verlag
Wiley
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)