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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
Metadata
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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