A fibered Wasserstein gradient flow for infinitely many incompressible phases is shown to admit weak solutions, to be stable as the phase measure is discretized, and to converge to the unique entropic optimal transport plan.
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Continuum of coupled Wasserstein gradient flows
A fibered Wasserstein gradient flow for infinitely many incompressible phases is shown to admit weak solutions, to be stable as the phase measure is discretized, and to converge to the unique entropic optimal transport plan.