Asymptotic properties of entropy solutions to fractal Burgers equation

Thumbnail
Date
2010
Link to item file
http://hal.archives-ouvertes.fr/hal-00369449/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Asymptotic behavior of solutions; Fractal Burgers equation; Entropy solutions; Self-similar solutions
Journal issue
SIAM Journal of Mathematical Analysis
Volume
42
Number
1
Publication date
2010
Article pages
354-376
Publisher
SIAM
DOI
http://dx.doi.org/10.1137/090753449
URI
https://basepub.dauphine.fr/handle/123456789/3359
Collections
Metadata
Show full item record
Author
Alibaud, Nathaël
Karch, Grzegorz
Imbert, Cyril
Type
Article accepté pour publication ou publié
Abstract (EN)
We study properties of solutions of the initial value problem for the nonlinear and nonlocal equation ut+(−∂2 x)α/2u+uux = 0 with α ∈ (0, 1], supplemented with an initial datum approaching the constant states u± (u−