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

M. Yousuff Hussaini

- 369 Want to read
- 25 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 | NASA contractor report -- 172503, ICASE report -- no. 84-60 |

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 | OL17977956M |

In the level set formulation, the problem becomes a mean-curvature flow like evolving the active contour, which will stop on the desired boundary of our selected region which results from K-means step. The final image segmentation results are one closed boundary per actual region in . If used with the correct constraints, the algorithm is capable of recovering the original model with accuracy. However, without constraints, the non-uniqueness of the problem can cause the algorithm to converge to alternative, equally well-fitting solutions. pdf; G.R. Gomes, J. . The boundedness problem asks if the reachability set (for a given initial configuration) is finite. Here we consider a dual problem, the co-finiteness problem that asks if the complement of the reachability set is finite; by restricting the question we get the co-emptiness (or universality) problem that asks if all configurations are reachable. CTT Publications. This list contains publications authored or co-authored by members of CTT, the Centre for Speech Technology, during the period that CTT has existed. Some of the papers concern research projects outside CTT. The papers are sorted by publication year and .

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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.

Existence and non-uniqueness of similarity solutions of a boundary layer problem book 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 Existence and non-uniqueness of similarity solutions of a boundary layer problem book 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 Existence and non-uniqueness of similarity solutions of a boundary layer problem book 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. The revised Buongiorno’s nanofluid model with the effect of induced magnetic field on steady magnetohydrodynamics (MHD) stagnation-point flow of nanofluid over a stretching or shrinking sheet is investigated.

The effects of zero mass flux and suction are taken into account. A similarity transformation with symmetry variables are introduced in order to alter from the governing nonlinear Cited by: 1. The present work studies the unsteady, viscous, and incompressible laminar flow and heat transfer over a shrinking permeable cylinder.

The unsteady nonlinear Navier–Stokes and energy equations are reduced, using similarity transformations, to a Cited by: 3. The effect of transpiration on self-similar boundary layer flow over moving surfaces. Int. Eng. Sci.44, – [Google Scholar] Harris, S.D.; Ingham, D.B.; Pop, I.

Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip.

Transp. Porous Med. 77, –Author: Anuar Jamaludin, Kohilavani Naganthran, Roslinda Nazar, Ioan Pop. 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. This problem remains open. Non-uniqueness of Leray-Hopf solutions were famously conjectured by Ladyzenskaja [ˇ ].

More recently, Sverˇ ak and Jia proved the non-uniqueness of Leray-Hopf weak solutions assuming that´ a certain spectral assumption holds [].

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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.

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