On mass transportation and transport equations
نویسندگان
چکیده
The resolution of transport equations is shown to be intimately related to the Monge-Kantorovich optimal mass transportation theory. Existence results for linear systems of transport equations in divergence form are given at the end of the paper.
منابع مشابه
Comparison of different mass transport equations for wind erosion quantification purposes in southwest Iran: A wind tunnel study
The objective of this study was to assess the efficiency of three mathematical models (power, exponential and logarithmic functions) for the calculation of the horizontal mass transport (HMT), as compared to the linear spline interpolation for the Cyclone Dust Sampler (CDS) and one with a Cone (CDSC), modified Wilson and Cooke trap (MWAC) and big spring number eight (BSNE). For the purposes of t...
متن کاملTransport via Mass Transportation
Weak topology implicit schemes based on Monge-Kantorovich or Wasserstein metrics have become prominent for their ability to solve a variety of diffusion and diffusion-like equations. They are very flexible, encompassing a wide range of nonlinear effects. They have interesting interpretations as descent algorithms in an infinite dimensional manifold setting or as dissipation principles for motio...
متن کاملExtraction of model parameters for reactive solute transport
In the present study, tried to examine the reactive solute relationships for transport and degradation processes through the rockfill media. By applying the analytical solution of reactive transport, the 1st to 3rd theoretical temporal moments have been extracted then, by using two methods of curve fitting and temporal moment matching, the coefficients of dispersion and degradation have been ex...
متن کاملThree-dimensional modeling of transport phenomena in a planar anode-supported solid oxide fuel cell
In this article three dimensional modeling of a planar solid oxide fuel cell (SOFC) was investigated. The main objective was to attain the optimized cell operation. SOFC operation simulation involves a large number of parameters, complicated equations, (mostly partial differential equations), and a sophisticated simulation technique; hence, a finite element method (FEM) multiphysics approach ...
متن کاملModeling the Container Selection for Freight Transportation: Case Study of Iran
Significant advantages of intermodal and containerized transport have increased the global interest to this mode of transportation. This growing interest is reflected in the annual volume of container cargo growth. However, the container transport inside Iran does not have a proper place. Comparing the count of containers entering and leaving ports with the statistics obtained from railway and ...
متن کامل