The resolution of transport equations is shown to be intimately related to the Monge-Kantorovich optimal mass transportation theory. Existence results for linear systems of transport equations in divergence form are given at the end of the paper.

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 19 February 2021Accepted: 27 August 2021Published online: 04 January 2022Keywordsoptimal transport, linear embeddings, Hellinger--Kantorovich Distance, exponential and logarithmic mapsAMS Subject Headings49M30, 49K20, 49N90Publication DataISSN (online): 1936-4954Publisher...

We propose an approach to solving two-dimensional linear and nonlinear boundary-value problems of statics for shallow shells based on the generalized method finite integral transformations Newton– Kantorovich–Raphson linearization. In case, application is reduced construction two with respect different variables in analyzed domain under assumption that kernels one transformation are transforms ...

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