This article is cited in 3 papers

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

V. V. Palin

Lomonosov Moscow State University

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.

Keywords: Riemann problem, geometric solutions, conservation laws.

UDC: 517.95

Received: 22.07.2019
Revised: 09.02.2020

DOI: 10.4213/mzm12517

 English version: Mathematical Notes, 2020, 108:3, 356–369

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