Solving Mass Transportation Problems Using Liouville Equations
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About The Author

Souvik Roy is an assistant professor at the University of Texas-Arlington in the Department of Mathematics. . His primary area of interest is in the field of inverse problems in fluid flows and medical imaging. For inverse problems in fluid flows, he is interested in determining the flow properties like velocity, vorticity, density, given image data which is advected by the fluid flow field. He studies both the theoretical and computational aspects of such models.

                       

Solving Mass Transportation Problems Using Liouville Equations

Transporting objects and moving from one place to another occurs in everyday life. We can observe it at all scales: molecules are transported inside cells; rockets transport satellites into Earth’s orbit. This is an age-old activity that has developed its rules and techniques for effectiveness and convenience. Thus, by looking carefully at any transport phenomena, we recognize a methodology. This is true for movement of human beings through different places to perform different tasks, transfer of data, which is the...

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