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Optimal Transport for the System of Isentropic Euler Equations
Authors:Wilfrid Gangbo
Affiliation:School of Mathematics , Georgia Institute of Technology , Atlanta, Georgia, USA
Abstract:We introduce a new variational time discretization for the system of isentropic Euler equations. In each timestep the internal energy is reduced as much as possible, subject to a constraint imposed by a new cost functional that measures the deviation of particles from their characteristic paths.
Keywords:Isentropic Euler equations  Optimal transport
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