scholarly journals Freeform optical beam shaping following an optimal transport map

Author(s):  
Zexin Feng ◽  
Brittany D. Froese ◽  
Lei Huang ◽  
Mali Gong ◽  
Guofan Jin ◽  
...  
2021 ◽  
Vol 27 (S1) ◽  
pp. 822-824
Author(s):  
Enzo Rotunno ◽  
Amir Tavabi ◽  
Paolo Rosi ◽  
Stefano Frabboni ◽  
Peter Tiemeijer ◽  
...  

2015 ◽  
Vol 54 (31) ◽  
pp. 9364 ◽  
Author(s):  
Zexin Feng ◽  
Brittany D. Froese ◽  
Rongguang Liang

2016 ◽  
Vol 8 (6) ◽  
pp. 58
Author(s):  
L. Ndiaye ◽  
Mb. Ndiaye ◽  
A. Sy ◽  
D. Seck

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.


2003 ◽  
Author(s):  
Yasser A. Abdelaziez ◽  
Partha P. Banerjee ◽  
Dean R. Evans ◽  
Shekhar Guha
Keyword(s):  

1999 ◽  
Author(s):  
Ernst-Bernhard Kley ◽  
Lars-Christian Wittig ◽  
Matthias Cumme ◽  
Uwe D. Zeitner ◽  
Peter Dannberg
Keyword(s):  

1985 ◽  
Vol 24 (5) ◽  
pp. 671 ◽  
Author(s):  
Dominique M. Dagenais ◽  
James A. Woodroffe ◽  
Irving Itzkan

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