On a one-dimensional version of the dynamical Marguerre-Vlasov system

2001 ◽  
Vol 32 (3) ◽  
pp. 303-319 ◽  
Author(s):  
G. Perla Menzala ◽  
Enrique Zuazua
Keyword(s):  
One Dimensional ◽  
Dimensional Version

scholarly journals Classification of one-dimensional superattracting germs in positive characteristic

2014 ◽  
Vol 35 (7) ◽  
pp. 2242-2268 ◽  
Author(s):  
MATTEO RUGGIERO
Keyword(s):  
Positive Characteristic ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Dimensional Version

We give a classification of superattracting germs in dimension $1$ over a complete normed algebraically closed field $\mathbb{K}$ of positive characteristic up to conjugacy. In particular, we show that formal and analytic classifications coincide for these germs. We also give a higher-dimensional version of some of these results.

Mosaic-like micropillar array for hard x-ray focusing—one-dimensional version

2013 ◽  
Vol 23 (9) ◽  
pp. 095015 ◽  
Author(s):  
Vladimir Nazmov ◽  
Juergen Mohr ◽  
Rolf Simon
Keyword(s):  
One Dimensional ◽  
X Ray ◽  
Dimensional Version ◽  
Micropillar Array

Uncovering Evidence of Conditional Party Government: Reassessing Majority Party Influence in Congress and State Legislatures

2005 ◽  
Vol 99 (3) ◽  
pp. 361-371 ◽  
Author(s):  
WILLIAM T. BIANCO ◽  
ITAI SENED
Keyword(s):  
Spatial Models ◽  
State Legislatures ◽  
Legislative Process ◽  
Real World Data ◽  
Majority Party ◽  
Party Government ◽  
One Dimensional ◽  
Uncovered Set ◽  
Dimensional Version ◽  
Search Program

This paper aims at enriching the debate over the measurement of majority party influence in contemporary American legislatures. Our use of a new analytic technique, a grid-search program for characterizing the uncovered set, enables us to begin with a better model of legislative proceedings that abandons the simple one-dimensional spatial models in favor of the more realistic two-dimensional version. Our conclusions are based on the analysis of real-world data rather than on arguments about the relative merits of different theoretic assumptions. Our analysis confirms that when legislators' preferences are polarized, outcomes will generally be closer to the majority party's wishes, even if the majority-party leadership does nothing to influence the legislative process. This conclusion notwithstanding, our analysis also shows that at the margin of the majority party's natural advantage, agenda setting by the majority party remains a viable and efficacious strategy.

scholarly journals Global Attractors of Sixth Order PDEs Describing the Faceting of Growing Surfaces

2015 ◽  
Vol 28 (1) ◽  
pp. 49-67 ◽  
Author(s):  
M. D. Korzec ◽  
P. Nayar ◽  
P. Rybka
Keyword(s):  
Boundary Conditions ◽  
Periodic Boundary ◽  
Initial Conditions ◽  
Periodic Boundary Conditions ◽  
Global Attractors ◽  
Sixth Order ◽  
Two Dimensional ◽  
One Dimensional ◽  
Crystalline Surface ◽  
Dimensional Version

Abstract A spatially two-dimensional sixth order PDE describing the evolution of a growing crystalline surface h(x, y, t) that undergoes faceting is considered with periodic boundary conditions, as well as its reduced one-dimensional version. These equations are expressed in terms of the slopes $$u_1=h_{x}$$ u 1 = h x and $$u_2=h_y$$ u 2 = h y to establish the existence of global, connected attractors for both equations. Since unique solutions are guaranteed for initial conditions in $$\dot{H}^2_{per}$$ H ˙ p e r 2 , we consider the solution operator $$S(t): \dot{H}^2_{per} \rightarrow \dot{H}^2_{per}$$ S ( t ) : H ˙ p e r 2 → H ˙ p e r 2 , to gain our results. We prove the necessary continuity, dissipation and compactness properties.

THE SWITCHING BEHAVIOR OF A ONE-DIMENSIONAL PN-DIODE IN LOW INJECTION

1993 ◽  
Vol 03 (01) ◽  
pp. 125-144 ◽  
Author(s):  
C. SCHMEISER ◽  
A. UNTERREITER ◽  
R. WEISS
Keyword(s):  
Integral Equation ◽  
Reverse Bias ◽  
Singularly Perturbed ◽  
Switching Behavior ◽  
Drift Diffusion ◽  
Nonlinear Volterra Integral Equation ◽  
One Dimensional ◽  
Formal Asymptotics ◽  
Simplifying Assumptions ◽  
Dimensional Version

The switching of a semiconductor PN-diode from forward to reverse bias is studied. A mathematical model is derived from a one-dimensional version of the standard drift diffusion equations by formal asymptotics. The simplifying assumptions amount to vanishing space charge, low injection, “long” devices and strongly asymmetric doping. The model is equivalent to a nonlinear Volterra integral equation of the second kind for the current through the device. Existence, uniqueness, analyticity and monotonicity of the solution are proved. In typical situations the integral equation is singularly perturbed. A rigorous perturbation analysis shows that the model is able to reproduce the experimentally observed switching behavior.

A one-dimensional version of the random interlacements

2018 ◽  
Vol 128 (8) ◽  
pp. 2750-2778 ◽  
Author(s):  
Darcy Camargo ◽  
Serguei Popov
Keyword(s):  
One Dimensional ◽  
Dimensional Version ◽  
Random Interlacements

scholarly journals On the ability of chemical transport models to simulate the vertical structure of the N<sub>2</sub>O, NO<sub>2</sub> and HNO<sub>3</sub> species in the mid-latitude stratosphere

2005 ◽  
Vol 5 (6) ◽  
pp. 12373-12401
Author(s):  
G. Berthet ◽  
N. Huret ◽  
F. Lefèvre ◽  
G. Moreau ◽  
C. Robert ◽  
...  
Keyword(s):  
Transport Model ◽  
Three Dimensional ◽  
Chemical Transport ◽  
Chemical Transport Model ◽  
Transport Models ◽  
One Dimensional ◽  
Chemical Transport Models ◽  
Dimensional Version ◽  
The Impact

Abstract. In this paper we study the impact of the modelling of N2O on the simulation of NO2 and HNO3 by comparing in situ vertical profiles measured at mid-latitudes with the results of the Reprobus 3-D CTM (Three-dimensional Chemical Transport Model) computed with the kinetic parameters from the JPL recommendation in 2002. The analysis of the measured in situ profile of N2O shows particular features indicating different air mass origins. The measured N2O, NO2 and HNO3 profiles are not satisfyingly reproduced by the CTM when computed using the current 6-hourly ECMWF operational analysis. Improving the simulation of N2O transport allows us to calculate quantities of NO2 and HNO3 in reasonable agreement with observations. This is achieved using 3-hourly winds obtained from ECMWF forecasts. The best agreement is obtained by constraining a one-dimensional version of the model with the observed N2O. This study shows that modelling the NOy partitioning with better accuracy relies at least on a correct simulation of N2O and thus of total NOy.

scholarly journals A Mathematical Model for Transport in Poroelastic Materials with Variable Volume:Derivation, Lie Symmetry Analysis, and Examples

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 396
Author(s):  
Roman Cherniha ◽  
Joanna Stachowska-Pietka ◽  
Jacek Waniewski
Keyword(s):  
Solute Transport ◽  
Lie Symmetry ◽  
Transport Processes ◽  
Experimental Investigations ◽  
One Dimensional ◽  
Poroelastic Media ◽  
Poroelastic Materials ◽  
Dimensional Version ◽  
The One ◽  
Symmetry Method

Fluid and solute transport in poroelastic media is studied. Mathematical modeling of such transport is a complicated problem because of the volume change of the specimen due to swelling or shrinking and the transport processes are nonlinearly linked. The tensorial character of the variables adds also substantial complication in both theoretical and experimental investigations. The one-dimensional version of the theory is less complex and may serve as an approximation in some problems, and therefore, a one-dimensional (in space) model of fluid and solute transport through a poroelastic medium with variable volume is developed and analyzed. In order to obtain analytical results, the Lie symmetry method is applied. It is shown that the governing equations of the model admit a non-trivial Lie symmetry, which is used for construction of exact solutions. Some examples of the solutions are discussed in detail.

ENGINEERING MODEL FOR THE CONSOLIDATION OF OIL SEED MATERIAL DURING VISCOPLASTIC DEFORMATION

2020 ◽  
Author(s):  
А.В. Гукасян ◽  
Д.А. Шилько
Keyword(s):  
Equations Of State ◽  
Liquid Mixture ◽  
Pressure Change ◽  
Viscoplastic Deformation ◽  
Displacement Gradient ◽  
One Dimensional ◽  
Velocity Gradients ◽  
Calculation Process ◽  
Dimensional Version ◽  
Solid Liquid

Cоставлено модельное уравнение консолидации масличного материала, учитывающее процесс его вязкопластичной деформации для неньютоновской твердожидкой смеси. Использованы параллельные соединения моделей Ньютона с вязкостью ηН и Сен-Венана с пределом текучести σ0. Обе формулы представлены в виде конститутивных реологических уравнений состояния. В процессе расчета использовано прямое и обратное преобразования Лапласа. Рассмотрен одномерный вариант пластической деформации масличного материала. Выведены градиенты смещения и скорости. Полученное уравнение распределения давления по высоте слоя материала позволяет определить изменение давления по толщине прессуемого материала с учетом его вязкопластичной деформации. The aim of the study was to compile a model equation for the consolidation of oilseeds, taking into account the process of its viscoplastic deformation for a non-Newtonian solid/liquid mixture. To compile the equation, we used in parallel a combination of Newton models with viscosity ηН and Saint-Venant with yield strength σ0. Both formulas are constitutive rheological equations of state. In the calculation process, the direct and inverse Laplace transforms were used, and a one-dimensional version of the plastic deformation of the oil material was considered, due to which the displacement gradient and velocity gradients were derived. As a result, the obtained equation of pressure distribution over the height of the material layer allows one to determine the pressure change over the thickness of the pressed material, taking into account its viscoplastic deformation.

scholarly journals On the thermoelasticity with two porosities: asymptotic behaviour

2018 ◽  
Vol 24 (9) ◽  
pp. 2713-2725 ◽  
Author(s):  
N. Bazarra ◽  
J.R. Fernández ◽  
M.C. Leseduarte ◽  
A. Magaña ◽  
R. Quintanilla
Keyword(s):  
Asymptotic Stability ◽  
Exponential Decay ◽  
Existence And Uniqueness ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Uniqueness Result ◽  
Porous Structures ◽  
One Dimensional ◽  
Dimensional Version ◽  
The One

In this paper we consider the one-dimensional version of thermoelasticity with two porous structures and porous dissipation on one or both of them. We first give an existence and uniqueness result by means of semigroup theory. Exponential decay of the solutions is obtained when porous dissipation is assumed for each porous structure. Later, we consider dissipation only on one of the porous structures and we prove that, under appropriate conditions on the coefficients, there exists undamped solutions. Therefore, asymptotic stability cannot be expected in general. However, we are able to give suitable sufficient conditions for the constitutive coefficients to guarantee the exponential decay of the solutions.

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