3 edition of **Existence and non-uniqueness of similarity solutions of a boundary layer problem** found in the catalog.

Existence and non-uniqueness of similarity solutions of a boundary layer problem

- 62 Want to read
- 4 Currently reading

Published
**1984**
by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va
.

Written in English

- Boundary layer.

**Edition Notes**

Statement | M.Y. Hussaini, W.D. Lakin. |

Series | ICASE report -- no. 84-60., NASA contractor report -- 172503., NASA contractor report -- NASA CR-172503. |

Contributions | Lakin, William D., Langley Research Center., Institute for Computer Applications in Science and Engineering. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL18041723M |

[Scientific Computation] Jean Cousteix Jacques Mauss - Asymptotic analysis and boundary layers ( Springer).pdf. We prove the existence of solutions of the corresponding system of PDEs and then study the behavior of such solutions when the data of the problem vary slowly. We prove that a rescaled version of the dynamic evolutions converge to a “local” quasistatic evolution, which is an evolution satisfying an energy inequality and a momentum balance.

Collapse of n-point vortices in self-similar motion. It is well-known that under very little regularity of the initial vorticity it can prove the existence of the global, regular solutions of the Euler equation in 2D Kudela H and Malecha Z Eruption of a boundary layer induced by a 2D vortex patch Fluid Dyn. Res. 41 1–Cited by: 6. Existence and Uniqueness of Solutions The fundamental result in the theory of differential equations is the existence and uniqueness theorem for systems of first order equations.

The size of the gap, in conceptual space, that separates different learning exemplars of a given learn a homophone, language learners are exposed to a discrete set of learning exemplars. For instance, for the word bat, they would observe several animal-bats and several baseball r if the underlying true concept were the broad category that encompasses animal-bats, baseball Cited by: 7. Interestingly, he solutions of the Vlasov equation, for systems with external periodic driving, are aperiodic for most initial conditions [Physics of Plas ()]. However, solutions of the Fokker- Planck equation for such systems seem to be periodic asymptotically for most initial conditions [Physics of Plas ()].

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The existence and uniqueness of Blasius' boundary layer solution to (), () with λ = 0 was rigorously proved by Weyl [18]. The properties of similarity solutions to the boundary layer.

Get this from a library. Existence and non-uniqueness of similarity solutions of a boundary layer problem. [M Yousuff Hussaini; William D Lakin; Langley Research Center.; Institute for Computer Applications in Science and Engineering.]. Similarity solutions of the boundary-layer equations describing mixed convection flow along a vertical plate exist if the difference between the temperature of the plate and the temperature of the.

Abstract. In this paper we reconsider the problem of steady mixed con-vection boundary-layer ﬂow over a vertical ﬂat plate studied in [6],[7] and [13].

Under favorable assumptions, we prove existence of multiple similar-ity solutions, we study also their asymptotic behavior. Numerical solutions are carried out using a shooting integration. Timol and Kalthia () also studied theoretically the existence of three-dimensional boundary layer similarity solutions for power law non-Newtonian fluids under normal conditions.

Howell et al. () studied the approximate solution of the boundary layer problem over horizontal moving plate. M.Y. Hussaini, W.D. Lakin, Existence and Non-uniqueness of similarity solutions of a boundary-layer problem. Mech.

Appl. Math. 39, 17–24 () MathSciNet Author: Chunqing Lu. Similarity solutions of degenerate boundary layer equations 1.

Introduction 2. Similarity reduction 3. A shooting method and preliminary results 4. The effects of deceleration of the surface velocity 5. Global behavior of solutions 6.

Conclusion Chapter Cited by: 4. The analysis deals with existence, non-uniqueness and large t behavior of solutions to the above equation under certain conditions. We also consider the case where the solutions are singular and give the asymptotic behavior at the singular point, for −1 ≤ α Cited by: 1.

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Summary. In this article, axisymmetric solutions of the Navier–Stokes equations governing the flow induced by a half-line source when the fluid domain is bound. One may naturally ask if such non-uniqueness holds for Leray-Hopf weak solutions.

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