scholarly journals Optimal Mass Transport in Thin Domains

2014 ◽  
Vol 14 (1) ◽  
Author(s):  
José C. Navarro-Climent ◽  
Julio D. Rossi ◽  
Raúl C. Volpe
Keyword(s):  
Mass Transport ◽  
Euclidean Distance ◽  
Optimal Transport ◽  
Transport Problem ◽  
Thin Domains ◽  
Optimal Mass Transport

AbstractWe find the behavior of the solution of the optimal transport problem for the Euclidean distance (and its approximation by p−Laplacian problems) when the involved measures are supported in a domain that is contracted in one direction.

The optimal mass transport problem for relativistic costs

2012 ◽  
Vol 46 (1-2) ◽  
pp. 353-374 ◽  
Author(s):  
Jérôme Bertrand ◽  
Marjolaine Puel
Keyword(s):  
Mass Transport ◽  
Transport Problem ◽  
Optimal Mass Transport

A discrete method for the initialization of semi-discrete optimal transport problem

2021 ◽  
Vol 212 ◽  
pp. 106608
Author(s):  
Judy Yangjun Lin ◽  
Shaoyan Guo ◽  
Longhan Xie ◽  
Ruxu Du ◽  
Gu Xu
Keyword(s):  
Optimal Transport ◽  
Transport Problem ◽  
Discrete Method

scholarly journals Pollution Transfer as Optimal Mass Transport Problem

2016 ◽  
Vol 8 (6) ◽  
pp. 58
Author(s):  
L. Ndiaye ◽  
Mb. Ndiaye ◽  
A. Sy ◽  
D. Seck
Keyword(s):  
Porous Media ◽  
Optimal Transport ◽  
Existence Of Solution ◽  
Nonlinear Pde ◽  
Mathematical Framework ◽  
Sufficient Condition ◽  
Mass Transportation ◽  
Optimal Mass Transport ◽  
Transportation Theory ◽  
Optimal Transport Map

In this paper, we use mass transportation theory to study pollution  transfer in  porous media.  We show   the existence of a $L^2-$regular vector field defined by a $W^{1, 1}-$ optimal transport map. A sufficient condition for solvability of our model, is given by   a (non homogeneous) transport equation with  a  source defined by a measure. The mathematical framework used, allows us to  show in some specifical cases, existence of solution for  a nonlinear PDE deriving from the modelling. And we end by numerical simulations.

General sharp weighted Caffarelli–Kohn–Nirenberg inequalities

2018 ◽  
Vol 149 (03) ◽  
pp. 691-718 ◽  
Author(s):  
Nguyen Lam
Keyword(s):  
Mass Transport ◽  
Sharp Constants ◽  
Optimal Mass Transport

AbstractIn this paper, we will use optimal mass transport combining with suitable transforms to study the sharp constants and optimizers for a class of the Gagliardo–Nirenberg and Caffarelli–Kohn–Nirenberg inequalities. Moreover, we will investigate these inequalities with and without the monomial weights $x_{1}^{A_{1}} \cdots x_{N}^{A_{N}}$ on ℝN.

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