We then construct the energy balance equation for the particles based on the thermodynamic description of the system. We also analyze the flux density of cascade particles, its stationary value, and its evolution.doi:10.1007/BF02551036Yu. A. Kashlev...
Continuity equation for flow density, \(\begin{array}{l}\frac{\partial \rho }{\partial t} + \bigtriangledown \cdot (\rho u) = 0\end{array} \) Cauchy momentum equation (conservation structure) \(\begin{array}{l}\rho \frac{Du}{Dt} = -\bigtriangledown p + \bigtriangledown \cdot...
density of flux change 磁通量变化密度 density change method 密度变化测定法 change ... into ... 把…改变成… No change 不变 change ... for ... 把…换成…;用…交换… change for v. 交换 change into v. 兑换,转换为 Change to 变成,变为,搬迁到…,把…更改为 相似...
This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds for which the equation admits a wavefront connecting its stable and unstable ...
Specifically, we introduce the density and flux of Fisher information for general types of wave fields and identify the corresponding sources and sinks of information through which all these new quantities satisfy a fundamental continuity equation. We experimentally verify our theoretical predictions by ...
However, a large time steps might be selected if we use the Flux weighted Method introduced in this paper. Generally ,weighted factor is set as constant .Naturally, this treatment method will decrease the accuracy of calculation for increase the steadiness of solving the equations. A accurate ...
For the above equations to be valid, the medium should have a uniform property that is linear, homogeneous, and isotropic. Linearity means the electric flux density D is directly proportional to the electric field intensity (D = εE) and magnetic flux density B is directly proportional to the...
(2009a) for benchmarking of continuum radiative transfer codes. A wide variety of different approaches to solving (or approximating) the radiative transfer equation exist, including ray tracing, Monte Carlo radiative transfer, flux limited diffusion (Levermore and Pomraning, 1981), escape probability ...
For this, we are going to assume that the density depends only on the time-type variable, as explained in [6, 32] we can write the state equation for the Schwarzschild type model as Relativistic Model for Radiating Spherical Collapse
As shown in [17], this applies especially to modern transformers due to improvements in the parameters of the materials used for their production (e.g., an increase in the maximum permissible magnetic flux density). Significant progress in the field of producing sheets for the transformer core ...