On the Darboux integrability of Blasius and Falkner-Skan equation

Jaume Llibre; Claudia Valls

doi:10.1016/j.compfluid.2013.06.027

On the Darboux integrability of Blasius and Falkner-Skan equation

Jaume Llibre, Claudia Valls

Departament de Matemàtiques

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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. © 2013 Elsevier Ltd.

Idioma original	Anglès
Pàgines (de-a)	71-76
Revista	Computers and Fluids
Volum	86
DOIs	https://doi.org/10.1016/j.compfluid.2013.06.027
Estat de la publicació	Publicada - 5 de nov. 2013

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10.1016/j.compfluid.2013.06.027

https://ddd.uab.cat/record/150595

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title = "On the Darboux integrability of Blasius and Falkner-Skan equation",

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. {\textcopyright} 2013 Elsevier Ltd.",

keywords = "Blasius equation, Darboux polynomials, Falkner-Skan equation, Integrability",

author = "Jaume Llibre and Claudia Valls",

year = "2013",

month = nov,

day = "5",

doi = "10.1016/j.compfluid.2013.06.027",

language = "English",

volume = "86",

pages = "71--76",

journal = "Computers and Fluids",

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publisher = "Elsevier Limited",

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T1 - On the Darboux integrability of Blasius and Falkner-Skan equation

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2013/11/5

Y1 - 2013/11/5

N2 - 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. © 2013 Elsevier Ltd.

AB - 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. © 2013 Elsevier Ltd.

KW - Blasius equation

KW - Darboux polynomials

KW - Falkner-Skan equation

KW - Integrability

U2 - 10.1016/j.compfluid.2013.06.027

DO - 10.1016/j.compfluid.2013.06.027

M3 - Article

SN - 0045-7930

VL - 86

SP - 71

EP - 76

JO - Computers and Fluids

JF - Computers and Fluids

ER -

On the Darboux integrability of Blasius and Falkner-Skan equation

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