Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function
We consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. We use the approach of H-measures to investigate the zero diffusion-dispersion-smoothing limit.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/279818 |
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| _version_ | 1832545413399314432 |
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| author | H. Holden K. H. Karlsen D. Mitrovic |
| author_facet | H. Holden K. H. Karlsen D. Mitrovic |
| author_sort | H. Holden |
| collection | DOAJ |
| description | We consider multidimensional conservation laws with discontinuous
flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities.
We use the approach of H-measures to investigate the zero diffusion-dispersion-smoothing limit. |
| format | Article |
| id | doaj-art-f977928c2e8a4aab8ec7f98780dbcc78 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-f977928c2e8a4aab8ec7f98780dbcc782025-02-03T07:26:03ZengWileyInternational Journal of Differential Equations1687-96431687-96512009-01-01200910.1155/2009/279818279818Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux FunctionH. Holden0K. H. Karlsen1D. Mitrovic2Department of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, 7491 Trondheim, NorwayDepartment of Mathematics, Centre of Mathematics for Applications, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, NorwayDepartment of Mathematical Sciences, Norwegian University of Science and Technology, Alfred Getz vei 1, 7491 Trondheim, NorwayWe consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. We use the approach of H-measures to investigate the zero diffusion-dispersion-smoothing limit.http://dx.doi.org/10.1155/2009/279818 |
| spellingShingle | H. Holden K. H. Karlsen D. Mitrovic Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function International Journal of Differential Equations |
| title | Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function |
| title_full | Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function |
| title_fullStr | Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function |
| title_full_unstemmed | Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function |
| title_short | Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function |
| title_sort | zero diffusion dispersion smoothing limits for a scalar conservation law with discontinuous flux function |
| url | http://dx.doi.org/10.1155/2009/279818 |
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