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All Journal Jambura Journal of Mathematics
Mohammad Ghani
Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115
Mathematics

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Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion Mohammad Ghani
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1278.254 KB) | DOI: 10.34312/jjom.v4i1.11748

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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