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On the Passage to the Limit in the Construction of Geometric Solutions of the Riemann Problem

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Abstract

A method for constructing geometric solutions of the Riemann problem for an impulsively perturbed conservation law is described. A complete classification of the possible patterns of the phase flow is given and, for each of the possible cases, the limit in the sense of Hausdorff is constructed.

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Funding

This work was supported by the Russian Foundation for Basic Research under grant 17-01-00805.

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Authors and Affiliations

  1. Lomonosov Moscow State University, 119991, Moscow, Russia

    V. V. Palin

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  1. V. V. Palin
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Correspondence to V. V. Palin.

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Palin, V.V. On the Passage to the Limit in the Construction of Geometric Solutions of the Riemann Problem. Math Notes 108, 356–369 (2020). https://doi.org/10.1134/S0001434620090059

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  • DOI: https://doi.org/10.1134/S0001434620090059

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