Singular shocks were first devised over 20 years ago as a tool to resolve some otherwise intractable Riemann problems for hyperbolic conservation laws. Although they appeared at first to be merely a mathematical curiosity, new applications suggest that they may have some greater significance. In this paper, I recount the story of their discovery, which owes much to Michelle Schatzmann, describe some of their old and new appearances, and suggest intriguing possible connections with change of type in conservation law systems.
@article{CML_2011__3_3_445_0,
author = {Barbara Lee Keyfitz},
title = {Singular shocks: retrospective and prospective},
journal = {Confluentes Mathematici},
pages = {445--470},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {3},
number = {3},
year = {2011},
doi = {10.1142/S1793744211000424},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.1142/S1793744211000424/}
}
TY - JOUR AU - Barbara Lee Keyfitz TI - Singular shocks: retrospective and prospective JO - Confluentes Mathematici PY - 2011 SP - 445 EP - 470 VL - 3 IS - 3 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S1793744211000424/ DO - 10.1142/S1793744211000424 LA - en ID - CML_2011__3_3_445_0 ER -
%0 Journal Article %A Barbara Lee Keyfitz %T Singular shocks: retrospective and prospective %J Confluentes Mathematici %D 2011 %P 445-470 %V 3 %N 3 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S1793744211000424/ %R 10.1142/S1793744211000424 %G en %F CML_2011__3_3_445_0
Barbara Lee Keyfitz. Singular shocks: retrospective and prospective. Confluentes Mathematici, Tome 3 (2011) no. 3, pp. 445-470. doi : 10.1142/S1793744211000424. https://cml.centre-mersenne.org/articles/10.1142/S1793744211000424/
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