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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

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

Written in English

Subjects:
• Boundary layer

• Edition Notes

The Physical Object ID Numbers 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 Format Microform Pagination 1 v. 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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### Existence and non-uniqueness of similarity solutions of a boundary layer problem by M. Yousuff Hussaini Download PDF EPUB FB2

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 [].

Singular Perturbation Theory R.S. Johnson. The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields.

Following that, 3 more chapters cover a number of more advanced topics: free boundary conditions, non quasi linear equations, and miscellaneous topics. The book is written by applied mathematicians for applied mathematics students. Micro-Electromechanical Systems (MEMS) combine electronics with micro-size mechanical devices in the process of designing various types of microscopic machinery, especially those involved in conceiving and building modern sensors.

Since their initial development in the s, MEMS has revolutionized numerous branches of science and industry. Indeed, MEMS-based devices are now essential Author: Yujin Guo. Another qualitative feature of boundary layer flow that plays an important role in fluid dynamics is that it can reverse directions.

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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.

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