On the existence of the solution of Burgers' equation for n≤4
In this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation.
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000898 |
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| _version_ | 1832567170809200640 |
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| author | Adel N. Boules |
| author_facet | Adel N. Boules |
| author_sort | Adel N. Boules |
| collection | DOAJ |
| description | In this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation. |
| format | Article |
| id | doaj-art-5f8f3c0244b240deafe3e9dd6ffa03ac |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5f8f3c0244b240deafe3e9dd6ffa03ac2025-02-03T01:02:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113464565010.1155/S0161171290000898On the existence of the solution of Burgers' equation for n≤4Adel N. Boules0Department of Mathematical Sciences, University of North Florida, Jacksonville 32216, Fl., USAIn this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation.http://dx.doi.org/10.1155/S0161171290000898Burgers' equationvariational methodsquadratic nonlinearities. |
| spellingShingle | Adel N. Boules On the existence of the solution of Burgers' equation for n≤4 International Journal of Mathematics and Mathematical Sciences Burgers' equation variational methods quadratic nonlinearities. |
| title | On the existence of the solution of Burgers' equation for n≤4 |
| title_full | On the existence of the solution of Burgers' equation for n≤4 |
| title_fullStr | On the existence of the solution of Burgers' equation for n≤4 |
| title_full_unstemmed | On the existence of the solution of Burgers' equation for n≤4 |
| title_short | On the existence of the solution of Burgers' equation for n≤4 |
| title_sort | on the existence of the solution of burgers equation for n≤4 |
| topic | Burgers' equation variational methods quadratic nonlinearities. |
| url | http://dx.doi.org/10.1155/S0161171290000898 |
| work_keys_str_mv | AT adelnboules ontheexistenceofthesolutionofburgersequationforn4 |