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Matematicheskie Zametki, 2020, Volume 108, Issue 3, Pages 380–396
DOI: https://doi.org/10.4213/mzm12517 (Mi mzm12517) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

V. V. Palin

Lomonosov Moscow State University
Full-text PDF (607 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12517
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00805
This work was supported by the Russian Foundation for Basic Research under grant 17-01-00805.
Received: 22.07.2019
Revised: 09.02.2020
English version:
Mathematical Notes, 2020, Volume 108, Issue 3, Pages 356–369
DOI: https://doi.org/10.1134/S0001434620090059
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. V. Palin, “On the Passage to the Limit in the Construction of Geometric Solutions of the Riemann Problem”, Mat. Zametki, 108:3 (2020), 380–396; Math. Notes, 108:3 (2020), 356–369
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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