The steady-state and log-linearized equations
A New Algorithm to Solve Sinusoidal Steady State Maxwell's Equations on Unstructured Grids
... Abstract. A new approach for attaining numerical solution to sinusoidal steady-state Maxwell's equations is developed. This approach is based on Yee's method, and can be applied on unstructured ...
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Multiple solutions of steady-state Poisson-Nernst-Planck equations with steric effects
... The steady state Poisson-Nernst- Planck equations with steric effects (PNP-steric equations) describe steady current through the open channel quite well, in a wide variety of ...of ...
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Multiple solutions of steady-state Poisson–Nernst–Planck equations with steric effects
... The steady state Poisson–Nernst–Planck equations with steric effects (PNP-steric equations) describe steady current through the open channel quite well, in a wide variety of ...of ...
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Approximate inertial manifolds for nonlinear parabolic equations via steady state determining mapping
... For nonlinear parabolic evolution equations, it is proved that, under the assumptions oflocal Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approxi[r] ...
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Estimating equations for biomarker based exposure estimation under non-steady-state conditions
... the steady-state model, which is overly simplistic but still widely used because of its practicality, and fully detailed biokinetic models that are somewhat impractical for use in formal statistical ...
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A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes
... Navier-Stokes equations, Zhang [8] found the relationship between the coefficients of the modified equation and the spu- rious oscillation at both sides of the shock ...
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Aeroacoustic simulation based on linearized Euler equations and stochastic sound source modelling
... Fig.5: Temporal signal at point A (test-vortex method) Umean = 10 m/s and Plate length = 0.1 m Fig.5 shows the temporal signal computed at both points A and B with the test-vortex injection method for a mean flow ...
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Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation
... the original system is unstable. If the derivative is only asymptotically stable, no conclusion can be drawn. Stability and stabilization of the KS equation with periodic boundary conditions is considered in detail in ...
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Death to the Log-Linearized Consumption euler Equation! (And Very Poor Health to the Second-Order Approximation)
... Euler Equations Partly in response to the initial draft of this paper, Attanasio and Low (2000) have written a paper that argues that it is possible to use time series variation in interest rates estimate Euler ...
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• In the last lecture we linearized, and then solved the differential equation underlying the Solow model to derive the time paths of the endogenous variables away from steady state
... we linearized, and then solved the differential equation underlying the Solow model to derive the time paths of the endogenous variables away from steady state • In today’s class, we will use these ...
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Inhomogeneous boundary value problems for steady compressible magnetohydrodynamic equations
... magnetohydrodynamic equations one may refer to [1, ...fluid equations in two dimension when the initial date are small perturbations of given constant ...MHD equations when the initial data are small ...
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Positive Steady States of Evolution Equations with Finite Dimensional Nonlinearities
... extinction steady state, as a bifurcation parameter to establish existence of positive steady ...positive steady states of nonlinear age-structured population dynamical models with ...the ...
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Steady-state solution for cylindrical penetrometers
... the equations of motion are addressed every cycle to resolve the change of momentum for every point in the finite difference ...a steady-state condition is achieved. The combination of ...
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8.0 Steady State Frequency Response
... ( ( ( ω + It is these simple relationships that form the basis of constructing the Bode plot. We basically need to figure out how to plot the magnitude or phase of a building block function, and then add the responses. ...
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Characterization of membranes in non-steady state
... 2.1. Equations in a non-stationary state Under linear conditions, only average membrane transport properties can be obtained from steady- state ...non- steady-state and/or ...
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Steady-state Capabilities for Hydroturbines with OpenFOAM
... Computations were performed at various guide-vane opening angles by specifying the flow rate at the inlet of the distributor passage for both nominal and low heads. Losses were estimated by computing the mass flow ...
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Log Equations
... 132. log 3 (x + 1) (x + 3) = 1 ⇒ 3 1 = (x + 1) (x + 3) ⇒ 3 = x 2 + x + 3x + 3 3 = x 2 + 4x + 3 ⇒ 0 = x 2 + 4x ⇒ 0 = x(x + 4) ∴ x = –4, 0 since – 4 doesn’t satisfy equation ∴ ∴ ∴ ∴ ∴ Final solution x ∈ {0} ...133. ...
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Comparison results and linearized oscillations for higher order difference equations
... We also establish a linearized oscillation theorem accordin to which, when m is odd, every solution of Eq.(1) oscillates if and only if every solution of an associated linear equation.. [r] ...
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Gradient Term Filtering for Stable Sound Propagation with Linearized Euler Equations
... momentum equations can be written equivalently as one divergence equation plus one vorticity equation for two-dimensional (2D) flow or three vorticity equations for three-dimensional (3D) ...
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The Spatio-Temporal Impulse Response of the Linearized Navier-Stokes Equations 1
... 1 Introduction One of the main issues in the theory of hydrody- namic stability for fluid flows is to determine the structure of flow perturbations that lead to transi- tion to turbulence. The classical approach to this ...
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