@Article{Dkhil2018,
author = "Dkhil, F. and Hamza, M. A. and Mannoubi, B.",
title = "Asymptotic profiles for a class of perturbed Burgers equations in one space dimension",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "1",
pages = "41--80",
doi = "https://doi.org/10.7494/OpMath.2018.38.1.41",
url = "https://doi.org/10.7494/OpMath.2018.38.1.41",
abstract = "In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we prove that the large time behavior of solutions is given by the self-similar solutions of the associated Burgers equation.",
keywords = "Burgers equation, self-similar variables, asymptotic behavior, self-similar solutions",
issn = "1232-9274"
}