Mathematics – Analysis of PDEs
Scientific paper
2006-03-17
Mathematics
Analysis of PDEs
19 pages, submitted
Scientific paper
The geodesic problem in Wasserstein spaces with a metric perturbed by a conformal factor is considered, and necessary optimality conditions are estabilished in a case where this conformal factor favours the spreading of the probability measure along the curve. These conditions have the form of a system of PDEs of the kind of the compressible Euler equations. Moreover, self-similar solutions to this system are discussed.
Ambrosio Luigi
Santambrogio Filippo
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