Results 161 to 170 of about 1,134,345 (204)

Fixed Poles in Transfer Function Equations

SIAM Journal on Control and Optimization, 1988
The objective of the paper is the pole structure study of solutions in a module theoretic framework, employing the notions of pole module and zero module of a linear transfer function. The paper supplies a complete description of the pole structure. The basic result in this setting is that there is an ``essential'' pole structure which appears in every
Conte, G., Perdon, A. M., Wyman, B. F.
openaire   +2 more sources

The Transfer Matrix of Differential-Algebraic Equations

Siberian Mathematical Journal, 2022
This paper is devoted to the study of the transfer function of linear differential-algebraic equations. The author considers the system \[ \begin{aligned} A\frac{d}{dt} x(t) + Bx(t)+ Uu(t)=&0,\quad t\in T=[0,\infty) \\ y(t)=Cx&(t), \end{aligned}\tag{1} \] with some known real \(n \times n\) matrices \(A\) and \(B\), such that \(\mathrm{det} A = 0\), an
openaire   +1 more source

An Equation for Transference Numbers

The Journal of Chemical Physics, 1938
The following transference number equation is proposed, 1/t=1/t0+AC12−BC.The values for the constant A are in accord with the Onsager theory for most uni-univalent electrolytes in water, but not for abnormal salts, such as silver nitrate, or for higher valence salts. However, the transference equation appears to have quite general applicability.
openaire   +1 more source

The rosseland approximation for the radiative transfer equations

Communications on Pure and Applied Mathematics, 1987
The radiative transfer system of equations for unknown functions \(u^{\epsilon}=u^{\epsilon}(x,\Omega,\nu)\), \(T^{\epsilon}=T^{\epsilon}(x)\) \((x\in X\subset R^{N+1}\), \(\Omega\) is unit direction vector, \(\nu >0)\) is considered. Results of Rosseland approximation are given and the existence of a solution of the radiative transfer system is proved.
Bardos, C., Golse, F., Perthame, B.
openaire   +2 more sources

Heat-Transfer Equations

2009
Abstract This article is a comprehensive collection of formulas, tables, and analytical solutions, addressing hundreds of heat-transfer scenarios encountered in science and engineering. It also demonstrates how to set up and solve real-world problems, while accounting for material properties, environmental variables, boundary and state ...
openaire   +1 more source

The kinetic equation and the equation of momentum transfer for a plasma

Pramana, 1973
An attempt is made to derive a simple form of the collision integral of the kinetic equation for a plasma, by using Rostoker’s equation which expresses the pair correlation function in terms of the distribution functions of the particles, and the conditional probability of one particle shielding the other.
openaire   +1 more source

Solutions of the bio-heat transfer equation

Physics in Medicine and Biology, 1988
A solution of the bio-heat transfer equation for a 'step-function point source' is presented and discussed. From this basic solution one can, in principle, obtain the temperature field resulting from a general heat source distribution by superposition.
openaire   +2 more sources

Equation of Transfer of Radiation

1966
All of the terms of radiative transfer discussed in chapter II are expressed in terms of the specific intensity I ν. Hence we have to find a relation to determine the specific intensity. The specific intensity is the result of the interaction between radiation and matter which should be studied by the quantum mechanics from the microscopic point of ...
openaire   +1 more source

Heat-Transfer Equations

2014
Abstract This article is a comprehensive collection of formulas, tables, and analytical solutions, addressing hundreds of heat-transfer scenarios encountered in science and engineering. With detailed explanations and dimensioned drawings, the article demonstrates how to set up and solve real-world problems, accounting for material ...
openaire   +1 more source

Bending vibration transfer equations of variable-section piezoelectric laminated beams

Composite Structures, 2023
Pengpeng Yu, Jiamei Jin
exaly