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Asymptotic properties of entropy solutions to fractal Burgers equation

Alibaud, Nathaël; Karch, Grzegorz; Imbert, Cyril (2010), Asymptotic properties of entropy solutions to fractal Burgers equation, SIAM Journal of Mathematical Analysis, 42, 1, p. 354-376. http://dx.doi.org/10.1137/090753449

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00369449/en/
Date
2010
Journal name
SIAM Journal of Mathematical Analysis
Volume
42
Number
1
Publisher
SIAM
Pages
354-376
Publication identifier
http://dx.doi.org/10.1137/090753449
Metadata
Show full item record
Author(s)
Alibaud, Nathaël
Karch, Grzegorz
Imbert, Cyril cc
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−
Subjects / Keywords
Asymptotic behavior of solutions; Fractal Burgers equation; Entropy solutions; Self-similar solutions

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