Papers by Mauricio Arango Molina
Complex Analysis and Operator Theory, 2010
Navier-Stokes equations arise in the study of incompressible fluid mechanics, star movement insid... more Navier-Stokes equations arise in the study of incompressible fluid mechanics, star movement inside a galaxy, dynamics of airplane wings, etc. In the case of Newtonian incompressible fluids, we propose an adaptation of such equations to finite connected weighted graphs such that it produces an ordinary differential equation with solutions contained in a linear subspace, this subspace corresponding to the Newtonian conservation law. We discuss the particular case when the graph is the complete graph K m , with constant weight, and provide a necessary and sufficient condition for it to have solutions.
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Papers by Mauricio Arango Molina