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

• Autorzy: Dkhil F. , Hamza M. A. , Mannoubi B.

Identyfikatory

DOI

10.7494/OpMath.2018.38.1.41

• Języki publikacji: EN

Abstrakty

EN

In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy lunctionals in appropriate weighted Sobolev spaces rewritten in the variables [formula] and log τ, we prove that the large time behavior of solutions is given by the sell-similar solutions ol the associated Burgers equation.

Słowa kluczowe

EN

Burgers equation; self-similar variables; asymptotic behavior; self-similar solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 1
• Strony: 41--80
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Dkhil F.

• Universite Tunis El Manar Departement de Mathematiques Institut Superieur d'Informatique 2 rue Abou Railian Bayrouni, 2080 Ariana, Tunisia
• Universite de Tunis El Manar Faculte des Sciences de Tunis UR13ES32 Analyse non lineaire et geometrie 2092 Tunis, Tunisia

autor

Hamza M. A.

• Department of Basic Sciences Deanship of Preparatory and Supporting Studies Imam Abdulrahman Bin Faisal University P.O. Box 1982 Dammam, Saudi Arabia

autor

Mannoubi B.

• Universite de Tunis El Manar Faculte des Sciences de Tunis UR13ES32 Analyse non lineaire et geometrie 2092 Tunis, Tunisia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).