nondimensionalization and the creeping flow equations

... equations for the equations (1.6) and simply e the Euler–Poincar´ equations or the Euler–Poincar´ equations with advection or the Euler– e e Poincar´ equations with advected parameters, for the equations ... study the Euler–Poincar´ formulation of the Maxwell–Vlasov equations for plasma physics e The Kelvin–Noether Theorem There is a version of the Noether theorem that holds for solutions of the Euler–Poincar´ ... The Lagrange–Routh Equations We now put together the information on the structure of the two form βµ with the reduced equations in the previous section The Horizontal Equation We begin with the...

Ngày tải lên: 24/04/2014, 16:49

... first) and the other three points lie on the complex plane C The three hyperbolic planes meeting p4 actually lie in vertical half-planes, and denote the three angles formed by the intersection of these ... positive or all negative and the slope is the quotient of the sum of the exponents of a with the sum of the exponents of b in the word, see [39] for more detail Figure 4.1: The Farey triangulation ... we review the SL(2, C) character variety χ of π1 (T) = a, b and the action of the mapping class group MCG of T on χ keeping invariant the trace of the commutator of the generators The subset...

Ngày tải lên: 10/09/2015, 09:09

... x; y: (KBE) The variables t0 and x in KBE  are called the backward variables In the case that a and are functions of x alone, pt0; t1 ; x; y  depends on t0 and t1 only through their difference ... can use Itˆ ’s formula to prove the Feynman-Kac Theorem, and use o the Feynman-Kac Theorem to derive the Kolmogorov backward equation 16.6 Black-Scholes Consider the SDE dS t = rS t dt + S ... on t0 and t1 only through their difference t1 , t0 This is always the case when at; x and t; x don’t depend on t Example 16.4 (Geometric Brownian motion) Recall that the solution to the SDE...

Ngày tải lên: 18/10/2013, 03:20

... of the curve at x Then all ξ1 , ξn , ζ1 , and ζn > Let θ1 denote the ˆ 1002 NEIL S TRUDINGER AND XU-JIA WANG angle between ξ and ζ at x, and θ2 the angle between ξ and the x1 -axis By ˆ (2.2) and ... that is the prescription of the e image of the gradient of the solution, but again the perturbation arguments are substantially different The organization of the paper is as follows In the next ... the mixed second derivatives of u on the boundary By the C 1,α estimate (Lemma 3.5) and the equation itself, we can then infer a continuity estimate for D2 u on the boundary However, unless the...

Ngày tải lên: 16/02/2014, 06:20

... expression and freedom of the media across the OSCE region Second, the study assesses the impact these regulations and practices have on the free flow of information and the freedom of expression on the ... assumed the tasks of identifying the potential for the outbreak of conflicts and of their prevention, settling and dealing with their aftermaths The development of democratic institutions and the ... academic and policy discussions on the matter 20 Disclaimer: For the present report and assessment, use has been made of the replies in the form in which they were received Neither the author nor the...

Ngày tải lên: 18/02/2014, 00:20

Ngày tải lên: 17/03/2014, 14:44

... modulus and the cross-sectional area, and f is either the friction or contact force on the surface of the bar), pipe flow (u is the hydrostatic pressure, a1 = 7rD4/128p, is the diameter, p is the ... essential since they essentially influence the weak formulation: They determine the function space in which the solution is sought On the other hand, Neumann boundary conditions not influence the function ... time-dependent and time-independent PDEs I f the equation is time-independent, we put n = d and z = x,where d is the spatial dimension and x the spatial variable This often is the case with elliptic equations...

Ngày tải lên: 31/03/2014, 15:57

... is the tactile sensuality of undiluted paint, the flowing rivers of water colors, the messiness of charcoals and graphite, and the dirty-ness of our hands and brushes and paint on the floor, the ... Introduction to the Healing Flow: An Image Oriented 19 Approach to Inquiry and Psychotherapy The Healing -Flow Model and its Implications Theoretical Considerations of the Healing -Flow Model and Interpretative ... greater balance and respect between the arts, and the sciences 24 THE HEALING FLOW: ARTISTIC EXPRESSION IN THERAPY For me as a researcher, therapist, and artist, the images in the imagistic pauses...

Ngày tải lên: 01/06/2014, 10:52

... the other hand, 6–9 and so on study the inhomogeneous equations i.e., f x / ≡ in 1.1 Bandle et al study the case m 1, σ 0, and Zeng and Zhang study the case σ In this paper, we investigate the ... Remark 1.3 Theorems 1.1 and 1.2 are the extension of the results of If we put σ these theorems, the same results as Theorem in are obtained in We will prove Theorem 1.1 a and b in Sections and 4, ... Difference Equations For quasi-linear parabolic equations, the authors of 1–5 and so on study the homogeneous equations i.e., f x ≡ in 1.1 Baras and Kersner proved that 1.1 with m and f x ≡ has...

Ngày tải lên: 21/06/2014, 11:20

... Inequalities and Applications The optimal control rate u∗ the optimal cost J ∗ of 1.1 and 1.2 are u∗ P x, P J∗ BT K, T x0 Kx0 , 1.3 where x0 ∈ Rn is the initial state of system 1.1 and 1.2 and K is the ... will make the following assumptions: the pair A, R is stabilizable, and the pair Q, A is observable In practice, it is hard to solve the ARE, and there is no general method unless the system ... Professor Jozef Banas and the referees for the very helpful comments and suggestions to improve the contents and presentation of this paper The work was also supported in part by the National Natural...

Ngày tải lên: 22/06/2014, 03:20

... Theorem 3.4 and relation (2.15) the proof immediately follows We are now ready to answer the question concerning the values assumed by the polynomials ρk−1 (z) and σk (z) on the unit circle Theorem ... modulus and σk (z) has not roots of unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem ... k, for odd k The following result holds true Theorem 2.5 Assuming that the multiplicity of the roots and −1 of both polynomials ρk (z) and σk (z) is at most one, the values Fν (θ) and Gν−1 (θ)...

Ngày tải lên: 23/06/2014, 00:20

... helpless, at the mercy of cold, hunger, wild beasts, and one another They had no idea how to explain the great forces they saw around them the rising and setting of the sun, the wheeling stars, the alternating ... alone and then I would think that the spectra were not good enough, and then I would show it to my colleagues and they would believe it and they could see two lines, or they couldn’t, and I would ... to the wrath of the gods It was only very recently in the history of the human race that the tables were reversed: It was now men and women who were the creators and gods the figments of their...

Ngày tải lên: 04/07/2014, 15:17

... supports the first hypothesis, that is, investors tend to cluster their orders at the market open and the close Trading lots and the number of orders at the open are almost two times of those at the ... hypothesize that informed orders and uninformed orders at the open and the close are larger than those at the rest of the trading intervals Furthermore, concentrated trading by informed and uninformed ... real and waiting orders The testing hypotheses are listed below H1: Investors tend to place more orders at the open and the close than at the interior periods Admati and Pfleiderer (1988 and 1989)...

Ngày tải lên: 31/10/2014, 18:45

... plasticity and the deformation mechanism of SMA In their model, the variants in the crystal grains and the orientations of crystal grains in the polycrystal as well as the volume fraction of the martensite ... stent at the end of each step in the simulation for the thermal-deployment of a SME biostent: (a) the compression of stent; (b) the insertion of the crimped stent into the vessel; (c) the release ... elements The gripping procedure consists of (b) the separation of the SMA sheets, (c) the insertion of the micro-clamper assembly over the biological material, and (d,e) the heating of the SMA...

Ngày tải lên: 12/09/2015, 08:19

... convenience of the reader, we restate the main results of [7] as the following theorem Theorem 1.1 Let (A1, , Ak) and (B1 , , Bk ) be commuting k-tuples of m × m and n × n matrices, respectively The following ... of m × m and n × n matrices, respectively, and let F = O On Then the following are equivalent: (i) F ∈ {T1, , Tk } ; (ii) The homogeneous systems of Sylvester equations AiY − Y Bi = O and ZAi ... all other values i (1 ≤ i ≤ k) If (3.11) is not satisfied for just one value i = p (1 ≤ i ≤ k), then the algorithm is aborted and the conclusion is that there is no simultaneous solution of equations...

Ngày tải lên: 16/10/2015, 09:33

... chart for the prediction of the nature of the flow according to the Rayleigh number and radius ratio R This chart shows the limit between the base flow and the two- or three-dimensional flow patterns, ... system parameters such as the geometry of the annulus, the properties of the fluid and the rotation rate of the outer cylinder on the flow and the heat transfer in the annular spaces are investigated ... Introduction 2) The numerical model is then extended for the study of the effects of rotation of the outer cylinder on the flow and the heat transfer in concentric and eccentric annuli Furthermore,...

Ngày tải lên: 27/11/2015, 11:12

... issues related to the production, logistics, and pretreatment of the biomass feedstock, and a better knowledge and understanding of the effect of the biomass properties and the gasifier operating ... wastes in the inland regions of Spain The description of the wastes tested, as well as their origin and potential resources, has been reported in a previous work [19] On the other hand, the coal–coke ... temperature and the space time) Once the reactor tube reached the selected temperature, air (the gasifying agent used for all the tests) was introduced according to the selected flow and pressure The...

Ngày tải lên: 01/08/2016, 09:30

... provide to the actor when the use cases is executed Typical contents - How the use case starts and ends Normal flow of events Alternate flow of events Exceptional flow of events 10 Uses and Extends ... class diagram shows the existence of classes and their relationships in the logical view of a system UML modeling elements in class diagrams - Classes and their structure and behavior - Association, ... to the piecing together of software applications Among other things, they may be simple files, or libraries loaded dynamically Processes Processes are objects that have their own control flow...

Ngày tải lên: 22/08/2012, 10:37

... to the toiling and dying types who made it over to America And once in America, people divided once again: you could say they became the poor and the rich The losers and winners The artists and ... narrative structure, and to the kind of stories that get told and retold about the Irish, so as to reveal both the regularity of English colonial discourse on Ireland and the Irish and the mutations ... take up and extend Said’s insight, in Culture and Imperialism, that the ‘‘convergence between the patterns of narrative authority constitutive of the novel on the one hand, and, on the other, a...

Ngày tải lên: 21/09/2012, 10:39

... on these estates The other contingent lacked the unity of the Richmond tenants These were Bretons from the north-east of the duchy who received grants of land in the midlands, the south-west and ... ± The barons of Leon and Penthievre could construct forti®cations without the permission of the duke;  Á ± The barons of Leon and Penthievre had the right of wreck on the shores of their lands; ... Blain and the à forest of Le Gavre.24 South of the Loire, ducal domains included the castellany of Le Pallet,25 estates on the south bank of the Loire and another in the extreme south-west of the...

Ngày tải lên: 21/09/2012, 10:46