Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion
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 ar...
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Universitas Negeri Gorontalo
2022-01-01
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| Series: | Jambura Journal of Mathematics |
| Subjects: | |
| Online Access: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/11748 |
| _version_ | 1828403157270528000 |
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| author | Mohammad Ghani |
| author_facet | Mohammad Ghani |
| author_sort | Mohammad Ghani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T10:13:08Z |
| format | Article |
| id | doaj.art-d14d65c9e2d048cb9a6ed98a0a1d8af0 |
| institution | Directory Open Access Journal |
| issn | 2654-5616 2656-1344 |
| language | English |
| last_indexed | 2024-12-10T10:13:08Z |
| publishDate | 2022-01-01 |
| publisher | Department of Mathematics, Universitas Negeri Gorontalo |
| record_format | Article |
| series | Jambura Journal of Mathematics |
| spelling | doaj.art-d14d65c9e2d048cb9a6ed98a0a1d8af02022-12-22T01:53:04ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442022-01-0141778510.34312/jjom.v4i1.117483406Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear DiffusionMohammad Ghani0Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115We 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.https://ejurnal.ung.ac.id/index.php/jjom/article/view/11748stabilityarbitrary wave amplitudesmall perturbationenergy estimate |
| spellingShingle | Mohammad Ghani Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion Jambura Journal of Mathematics stability arbitrary wave amplitude small perturbation energy estimate |
| title | Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion |
| title_full | Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion |
| title_fullStr | Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion |
| title_full_unstemmed | Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion |
| title_short | Stability of Traveling Waves to a Burgers Equation with 2nd-Order Nonlinear Diffusion |
| title_sort | stability of traveling waves to a burgers equation with 2nd order nonlinear diffusion |
| topic | stability arbitrary wave amplitude small perturbation energy estimate |
| url | https://ejurnal.ung.ac.id/index.php/jjom/article/view/11748 |
| work_keys_str_mv | AT mohammadghani stabilityoftravelingwavestoaburgersequationwith2ndordernonlineardiffusion |