Jambura Journal of Mathematics
Vol 4, No 1: January 2022

Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion

Mohammad Ghani (Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115)

Article Info

Publish Date
01 Jan 2022

Abstract

We are interested in the study of asymptotic stability for Burgers equation with second-order nonlinear diffusion. We first transform the original equation by the ansatz transformation to establish the existence of traveling wave. We further employ the energy estimate under small perturbation and arbitrary wave amplitude. This energy estimate is then used to establish the stability.

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Journal Info
Jambura Journal of Mathematics
Website

Abbrev

jjom

Publisher

Universitas Negeri Gorontalo

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...