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Online ISSN 1552-4485; Print ISSN 0033-569X
Shock waves with irrotational Rankine-Hugoniot conditions
Authors:
Dening Li and Qingtian Zhang
Journal:
Quart. Appl. Math. 82 (2024), 789-800
MSC (2020):
Primary 35F55, 35L67, 76L05, 76N30; Secondary 35L15
DOI:
https://doi.org/10.1090/qam/1682
Published electronically:
October 23, 2023
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Shock wave stability for isentropic irrotational flow is studied for Euler system but with shock front conditions corresponding to the second order nonlinear wave equation. It is shown that the usual Lax’ shock condition still guarantees the uniform linear stability and therefore the existence of the shock waves solution.
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Additional Information
Dening Li
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, WV 26505
MR Author ID:
194475
Email:
deli@mail.wvu.edu, dnli@hotmail.com
Qingtian Zhang
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, WV 26505
MR Author ID:
1015414
Email:
qingtian.zhang@mail.wvu.edu
Keywords:
Euler system,
isentropic and irrotational flow,
shock waves
Received by editor(s):
May 4, 2023
Received by editor(s) in revised form:
September 21, 2023
Published electronically:
October 23, 2023
Article copyright:
© Copyright 2023
Brown University