Boundary Layers and Shock Profiles for the Broadwell Model
We consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for the Boltzmann equation. We find explicit expressions for the nonlinear boundary layers and the shock pr...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/5801728 |
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| _version_ | 1832565523266666496 |
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| author | Niclas Bernhoff |
| author_facet | Niclas Bernhoff |
| author_sort | Niclas Bernhoff |
| collection | DOAJ |
| description | We consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for the Boltzmann equation. We find explicit expressions for the nonlinear boundary layers and the shock profiles. In spite of the few velocities used for the Broadwell model, the solutions are (at least partly) in qualitatively good agreement with the results for the discrete Boltzmann equation, that is the general discrete velocity model, and the full Boltzmann equation. |
| format | Article |
| id | doaj-art-a3681c0665584f34aa69e9b355a05bb8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a3681c0665584f34aa69e9b355a05bb82025-02-03T01:07:25ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/58017285801728Boundary Layers and Shock Profiles for the Broadwell ModelNiclas Bernhoff0Department of Mathematics, Karlstad University, 65188 Karlstad, SwedenWe consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for the Boltzmann equation. We find explicit expressions for the nonlinear boundary layers and the shock profiles. In spite of the few velocities used for the Broadwell model, the solutions are (at least partly) in qualitatively good agreement with the results for the discrete Boltzmann equation, that is the general discrete velocity model, and the full Boltzmann equation.http://dx.doi.org/10.1155/2016/5801728 |
| spellingShingle | Niclas Bernhoff Boundary Layers and Shock Profiles for the Broadwell Model International Journal of Differential Equations |
| title | Boundary Layers and Shock Profiles for the Broadwell Model |
| title_full | Boundary Layers and Shock Profiles for the Broadwell Model |
| title_fullStr | Boundary Layers and Shock Profiles for the Broadwell Model |
| title_full_unstemmed | Boundary Layers and Shock Profiles for the Broadwell Model |
| title_short | Boundary Layers and Shock Profiles for the Broadwell Model |
| title_sort | boundary layers and shock profiles for the broadwell model |
| url | http://dx.doi.org/10.1155/2016/5801728 |
| work_keys_str_mv | AT niclasbernhoff boundarylayersandshockprofilesforthebroadwellmodel |