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Exact Analytical Solutions for Static Response of Helical Single-Walled Carbon Nanotubes Using Nonlocal Euler-Bernoulli Beam Theory. [PDF]

Nanomaterials (Basel)
Dalgıç AM, Tüfekci M, Pir İ, Tüfekci E.   +3 more
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Mechanics of the golf lip out. [PDF]

R Soc Open Sci
Hogan SJ, Antali M.
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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
Peng, Yue-Jun, Wang, Shu
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Euler equation errors [PDF]

Review 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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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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From quantum Euler–Maxwell equations to incompressible Euler equations

Applicable Analysis, 2014
The combined quasi-neutral and non-relativistic limit of compressible quantum Euler–Maxwell equations for plasmas is studied in this paper. For well-prepared initial data, it is shown that the smooth solution of compressible quantum Euler–Maxwell equations converges to the smooth solution of incompressible Euler equations by using the modulated energy ...
Jianwei Yang, Zhiping Ju
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From two-fluid Euler–Poisson equations to one-fluid Euler equations

Asymptotic Analysis, 2013
We consider quasi-neutral limits in two-fluid isentropic Euler–Poisson equations arising in the modeling of unmagnetized plasmas and semiconductors. For periodic smooth solutions, we justify an asymptotic expansion in a time interval independent of the Debye length. This implies the convergence of the equations to compressible Euler equations.
Li, Yachun, Peng, Yue-Jun, Wang, Ya-Guang   +2 more
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