Asymptotic profiles for a class of perturbed Burgers equations in one space dimension

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...

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Bibliographic Details
Main Authors: F. Dkhil, M. A. Hamza, B. Mannoubi
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/1/art/opuscula_math_3804.pdf