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Pàgina inicial > Articles > Articles publicats > On the Darboux integrability of Blasius and Falkner-Skan equation |
Data: | 2013 |
Resum: | We study the Darboux integrability of the celebrated Falkner-Skan equation f''' + ff'' + λ(1−f'2) = 0, where λ is a parameter. When λ = 0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Additionally we compute all the Darboux polynomials and all the exponential factors of these differential equations. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: The second author is partially supported by FCT through CAMGDS, Lisbon. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Falkner-Skan equation ; Blasius equation ; Integrability ; Darboux polynomials |
Publicat a: | Computers & Fluids, Vol. 86 (2013) , p. 71-76, ISSN 0045-7930 |
Postprint 26 p, 748.4 KB |