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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 315, Pages 182–201
DOI: https://doi.org/10.4213/tm4238 (Mi tm4238) 		 
Limit Passage in the Construction of a Geometric Solution: The Case of a Rarefaction Wave

V. V. Palin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/tm4238
Abstract: A method for constructing a geometric solution of the Riemann problem is described for a scalar conservation law perturbed by a rarefaction wave. The phase flow of the associated autonomous system is described topologically, and an explicit formula for the Hausdorff limit defining a geometric solution is presented.
Funding agency Grant number
Russian Science Foundation 20-11-20169
This work is supported by the Russian Science Foundation under grant 20-11-20169.
Received: March 8, 2021
Revised: June 28, 2021
Accepted: July 31, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 315, Pages 171–189
DOI: https://doi.org/10.1134/S0081543821050138
Bibliographic databases:
Document Type: Article
UDC: 517.956+514.763.85
Language: Russian
Citation: V. V. Palin, “Limit Passage in the Construction of a Geometric Solution: The Case of a Rarefaction Wave”, Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, Steklov Math. Inst., Moscow, 2021, 182–201; Proc. Steklov Inst. Math., 315 (2021), 171–189
Citation in format AMSBIB
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\by V.~V.~Palin
\paper Limit Passage in the Construction of a Geometric Solution: The Case of a Rarefaction Wave
\inbook Optimal Control and Differential Games
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 315
\pages 182--201
\publ Steklov Math. Inst.
\publaddr Moscow
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\crossref{https://doi.org/10.4213/tm4238}
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\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 315
\pages 171--189
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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