Governing equations and the forward problem
Governing Equations of Fluid Dynamics
... that the shock is always treated as a discontinuity, and its location is well-defined numerically. However, for a given problem you have to know in advance approxi- mately where to put the shock waves, and how ...
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2 Model and governing equations
... 2 Model and governing equations The flow to be considered consists of three horizontal fluid layers. Through- out the paper these are denoted with subscripts 1, 2 and 3 for the top, middle and bottom layers ...
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2. Governing equations and analysis of the flow
... The governing time-dependent boundary-layer equations are reduced to non-linear ordinary differential equations by introducing a similarity ...ilarity equations for the unsteady flow have been ...
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Effective equations governing an active poroelastic medium
... macroscopic equations governing a growing poroelastic medium together with passive transport of a solute which acts to regulate the growth dynamics of the medium, by means of two-scale ...
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LINEAR FORWARD FRACTIONAL DIFFERENCE EQUATIONS
... Department of Mathematics, University of Dayton, Dayton, Ohio 45469-2316 USA E-mail: [email protected], [email protected] ABSTRACT. In this paper, we continue our study of the linear forward fractional ...
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Equivalence Problem of the Painlevé Equations
... equivalence problem of the Painlevé ...differential equations y F x y y , , to be equivalent to the first and second Painlevé equation under a general point transformation are ...
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Forward equations for option prices in semimartingale models
... a forward partial integro-differential equation for prices of call options in a model where the dynamics of the underlying asset under the pricing measure is described by a -possibly discontinuous- semimartin- ...
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Lecture 3 Flow Governing Equations SEMT 3333 AERODYNAMICS
... Objectives 1. Understand the physics laws that form the basis of the fluid equations of motion 2. Learn how to obtain equation of fluid motion in both derivative and integral form 3. Be able to apply the ...
From poison to problem: Governing the drug using population
... the problem? Was there competing opinions on this? How did this new category of person and subsequent responses fit within broader strategies? These proved to be an effective way of investigating the ...
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Mean Field Forward-Backward Stochastic Differential Equations
... Detailed explanations on how these FBSDEs occur in these contexts and the particular models which were solved are given in Section 3 below. The existence proofs given in [4] and [3] depend heavily on the fact that the ...
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Quasilinear PDEs and forward-backward stochastic differential equations
... of forward back- ward stochastic differential equations (FBSDEs) with finite horizon, the regularity prop- erty of the solution of FBSDEs and the connection between the solution of FBSDEs and the solution ...
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New approach to the numerical solution of forward-backward equations
... ϕ (n+1) (0) = γϕ (n) (1) + βϕ (n) (−1), n = 0, 1, 2, . . . . (8) The relationship between the IVP (5)-(3) and the BVP (1)-(2) is complex. While it is straightforward to determine the BVP corresponding to a given IVP, the ...
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Forward and inverse problem of Hermitian systems in C2.
... A particularly important application of Hermitian systems is the 1-Dimensional Dirac system. This comes from the separation of variables of the Dirac equation in quantum electrodynamics under certain symmetry ...
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Governing Public Private Partnerships: The Problem of Low Cost Decisions
... 4. Concluding remarks Public-private partnerships between governments and private sector companies have received significant scholarly attention in recent years. Much has already been written about PPPs as a tool of ...
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Problem Solving as a Governing Knowledge: “Skills” Testing in PISA and PIAAC
... of problem-solving on the human condition, as per ...of problem-solving include the “turn to cognition” with its associated moralism and the way it is being deployed to divide “citizens” into successful and ...
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On the well-posedness problem of the electrorheological fluid equations
... a – p(x)–1 1 (x) dx < ∞ , similar to the proof of Theorem 1.5, one has (4.7)–(4.11), and we know that the stability (1.12) is true. Theorem 1.8 is proved. 5 Conclusion The equations addressed arise in ...
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On the Cauchy problem for singular functional differential equations
... differential equations; linear equation; Cauchy problem; unique solvability; singular equations 1 Introduction In recent years, a lot of works have been devoted to the solvability of boundary value ...
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A singular boundary value problem for neutral equations
... berg, theorems for the existence and uniqueness of an absolutely con- tinuous solution of a singular boundary value .problem for neutral equations have been proved.. KEY WORDS AND PHRASE[r] ...
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A focal boundary value problem for difference equations
... Many authors have applied the theory of cones in a Banach space and positive operators either to demonstrate the existence of smallest positive eigenvalues, to compare these eigenvalues,[r] ...
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Stability problem of some nonlinear difference equations
... LADAS, Permanence and global attractivity in nonlinear difference equations, Proceedings of the First World Congress of Nonlinear Analysis, Tampa, Florida, 1992. [5] V[r] ...
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