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The uniqueness of certain flows in a channel with arbitrary cross section. by Arthur S. Peters

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Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


Book details:

The Physical Object
Pagination41 p.
Number of Pages41
ID Numbers
Open LibraryOL17869689M

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The uniqueness of certain flows in a channel with arbitrary cross section / 5 Residue expansions for certain Green's functions and resolvent kernels 5 / 5 Some generalized eigenfunction expansions and uniqueness theorems 3 / 54/5(4). This paper is organized as follows: in section 2 we introduce the notations and results that will be used in the development of this work; in section 3 we obtain existence and uniqueness of. In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties. Finally, the book is endowed with a vast bibliography that includes more than items. Each item brings a reference to the section of the book where it is cited. The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations.

singly connected microchannels of arbitrary cross-section. Using a ‘‘bottom-up” approach, it is shown that for constant fluid properties and flow rate in fixed cross-section channels, the Poiseuille number is only a function of geometrical parameters of the cross-section, i.e., perimeter, area, and polar moment of . The greatest number of sides a cross section can have is determined by the number of faces the 3D figure has. EX A triangular prism has 4 faces. The greatest number of sides that a resulting cross section can have is 4 so a resulting cross section could not be a pentagon, because it has 5 sides. Start studying ART. Learn vocabulary, terms, and more with flashcards, games, and other study tools. @article{osti_, title = {Unsteady fluid flow in a slightly curved pipe: A comparative study of a matched asymptotic expansions solution with a single analytical solution}, author = {Messaris, Gerasimos A. T., and School of Science and Technology, Hellenic Open University, 11 Sahtouri Street, GR 22 Patras and Hadjinicolaou, Maria and Karahalios, George T.}, abstractNote = {The.

Figure shows plots of the current i through a certain cross section of a wire over four different time periods. Rank the periods according to the net charge that passes through the cross section during the period, greatest first. Session 7: Section 1 Cross – references. In section 2 of the first session, you spent some time discussing how the Bible interprets itself, and you may remember looking at Isaiah You learned from that example that the Bible interprets itself.   Introduction One of the Sovereign Grace Union’s current pamphlets bears the title The Centrality of the Cross. It bears witness to the solemn truth that the religion of our Lord Jesus Christ is the religion of redemption by His crucifixion. In the words of Herman Bavinck: "the . Proof: To show the uniqueness of the solution y = ˚(t), we can proceed much as in the example. First, assume the existence of another solution y = (t). It is then possible to show (see Problem 19) that the di erence ˚(t) (t) satis es the inequality j˚(t) (t)j A Z t 0 j˚(s) (s)jds for 0 t h and a suitable positive number Size: KB.