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Euler equation errors [PDF]

open access: possibleReview of Economic Dynamics, 2006
Abstract The standard, representative agent, consumption-based asset pricing theory based on CRRA utility fails to explain the average returns of risky assets. When evaluated on cross-sections of stock returns, the model generates economically large unconditional Euler equation errors.
Sydney C. Ludvigson, Martin Lettau
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Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations

Communications in Partial Differential Equations, 2008
In this paper we study the combined quasineutral and non-relativistic limit of compressible Euler–Maxwell equations. For well prepared initial data the convergences of solutions of compressible Euler–Maxwell equations to the solutions of incompressible Euler equations are justified rigorously by an analysis of asymptotic expansions and a careful use of
Shu Wang, Yue-Jun Peng
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Generalized Euler Equations

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1965
Es sei vorausgesetzt, dass in einem optimalen Steuerprozess die Anzahl der Steuervariabeln ≥s−1 ist, wos die Anzahl der Zustandsvariabeln bedeutet. Es wird gezeigt, dass dann die adjungierten Variabeln eliminiert werden konnen, so dass ein System von Differentialgleichungen entsteht, das als eine Verallgemeinerung der Eulerschen Gleichungen der ...
Denn, Morton M., Aris, Rutherford
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Translation of Euler's equations

USSR Computational Mathematics and Mathematical Physics, 1969
Abstract THE present paper develops the ideas outlined in [1, 2]. There are variational problems whose solution demands a more flexible use of constructions leading to Euler's equation. Examples are problems of the Pontryagin type, in which no assumption is made that all the functions entering into the problem depend continuously on the control, or
Dubovitskij, A. Ya., Milyutin, A. A.
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Convergence of Compressible Euler–Poisson Equations to Incompressible Type Euler Equations

Asymptotic Analysis, 2005
In this paper, we study the convergence of time‐dependent Euler–Poisson equations to incompressible type Euler equations via the quasi‐neutral limit. The local existence of smooth solutions to the limit equations is proved by an iterative scheme. The method of asymptotic expansion and the symmetric hyperbolic property of the systems are used to justify
Ya-Guang Wang
exaly   +3 more sources

The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation

Asymptotic Analysis, 2023
In this paper we introduce the (unipolar) pressureless Euler–Poisswell equation for electrons as the [Formula: see text] semi-relativistic approximation and the (unipolar) pressureless Euler–Darwin equation as the [Formula: see text] semi-relativistic approximation of the (unipolar) pressureless Euler–Maxwell equation. In the “infinity-ion-mass” limit,
Möller, Jakob, Mauser, Norbert J.
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THE EULER EQUATIONS WITH DISSIPATION

Mathematics of the USSR-Sbornik, 1993
See the review in Zbl 0766.35038.
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On a Kinetic Formulation of the Euler Equations

SIAM Journal on Mathematical Analysis, 2015
In this article, the following Euler equations are considered over \([0,+\infty[\times \mathbb{R}^3\): \[ \begin{aligned} \partial_t \rho+\operatorname{div}(\rho u)&=0, \\ \partial_t (\rho u)+\operatorname{div}(\rho u\otimes u)+\nabla (\rho T)&=0, \\ \partial_t (\rho T)+\operatorname{div}(\rho T u)+2/3 \rho T\operatorname{div}(u)&=0.\end{aligned} \] It
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