On the Darboux integrability of Blasius and Falkner-Skan equation
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2013
Abstract:	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.
Grants:	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
Note:	Agraïments: The second author is partially supported by FCT through CAMGDS, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Falkner-Skan equation ; Blasius equation ; Integrability ; Darboux polynomials
Published in:	Computers & Fluids, Vol. 86 (2013) , p. 71-76, ISSN 0045-7930

DOI: 10.1016/j.compfluid.2013.06.027

Postprint 26 p, 748.4 KB

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