Error estimates for scalar conservation laws by a kinetic approach
We use the kinetic approach of Perthame and Tadmor (1991) to calculate the error estimates for general scalar conservation laws governing problems in gas dynamics or fluid mechanics in general. The Kružkov and Kuznetsov techniques are generalized to this method, and an error bound of order ε (where...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/41510 |
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| _version_ | 1832564958721736704 |
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| author | A. Omrane |
| author_facet | A. Omrane |
| author_sort | A. Omrane |
| collection | DOAJ |
| description | We use the kinetic approach of Perthame and Tadmor
(1991) to calculate the error estimates for general
scalar conservation laws governing problems in gas dynamics or
fluid mechanics in general. The Kružkov and Kuznetsov
techniques are generalized to this method, and an error bound of
order ε (where ε is the mean free path) is obtained. |
| format | Article |
| id | doaj-art-5f4652e1193f4d959c43a58486842b3a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5f4652e1193f4d959c43a58486842b3a2025-02-03T01:09:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4151041510Error estimates for scalar conservation laws by a kinetic approachA. Omrane0Département de Mathématiques et Informatique, Université des Antilles et de la Guyane, Campus de Fouillole, Pointe à Pitre Cedex, Guadeloupe 97159, FranceWe use the kinetic approach of Perthame and Tadmor (1991) to calculate the error estimates for general scalar conservation laws governing problems in gas dynamics or fluid mechanics in general. The Kružkov and Kuznetsov techniques are generalized to this method, and an error bound of order ε (where ε is the mean free path) is obtained.http://dx.doi.org/10.1155/IJMMS/2006/41510 |
| spellingShingle | A. Omrane Error estimates for scalar conservation laws by a kinetic approach International Journal of Mathematics and Mathematical Sciences |
| title | Error estimates for scalar conservation laws by a kinetic approach |
| title_full | Error estimates for scalar conservation laws by a kinetic approach |
| title_fullStr | Error estimates for scalar conservation laws by a kinetic approach |
| title_full_unstemmed | Error estimates for scalar conservation laws by a kinetic approach |
| title_short | Error estimates for scalar conservation laws by a kinetic approach |
| title_sort | error estimates for scalar conservation laws by a kinetic approach |
| url | http://dx.doi.org/10.1155/IJMMS/2006/41510 |
| work_keys_str_mv | AT aomrane errorestimatesforscalarconservationlawsbyakineticapproach |