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ASYMPTOTIC PROFILES FOR A CLASS OF PERTURBED BURGERS EQUATIONS IN ONE SPACE DIMENSION
Journal article   Open access  Peer reviewed

ASYMPTOTIC PROFILES FOR A CLASS OF PERTURBED BURGERS EQUATIONS IN ONE SPACE DIMENSION

F. Dkhil, M. A. Hamza and B. Mannoubi
Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.38(1), pp.41-80
01/01/2018
DOI: https://doi.org/10.7494/OpMath.2018.38.1.41

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 xi/root 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.
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https://doi.org/10.7494/OpMath.2018.38.1.41View
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