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| HAL: hal-00020172, version 1 |
| arXiv: math/0603080 |
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| Mathematical Methods in the Applied Sciences vol. 28, 4 (2005) pp. 479-503 |
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| On similarity solutions for boundary layer flows with prescribed heat flux |
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| B. Brighi 1J. -D. Hoernel 2 |
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| (2004) |
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| This paper is concerned with existence, uniqueness and behavior of the solutions of the autonomous third order nonlinear differential equation $f'''+(m+2)ff''-(2m+1)f'^2=0$ on $\mathbb{R}^+$ with the boundary conditions $f(0)=-\gamma$, $f'(\infty)=0$ and $f''(0)=-1$. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing-up coordinates to obtain a plane dynamical system. |
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| 1: | Laboratoire de Mathématiques Informatique et Applications (LMIA) |
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Université de Haute Alsace - Mulhouse |
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| 2: | Department of Mathematics (TECHNION) |
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Technion - Israel Institute of Technology |
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| Subject | : | Mathematics/Classical Analysis and ODEs Physics/Mechanics/Mechanics of the fluids Engineering Sciences/Mechanics/Fluids mechanics |
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| Third order differential equations – boundary value problems – blowing-up coordinates – plane dynamical systems |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math/0603080 |
| hal-00020172, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00020172 | |
| oai:hal.archives-ouvertes.fr:hal-00020172 | |
| From: Jean-David Hoernel | |
| Submitted on: Monday, 6 March 2006 21:44:00 | |
| Updated on: Friday, 17 March 2006 11:36:04 | |
