Similarity solutions for the generalized equation of steady transonic gas flow with a singular source

DOI10.1090/QAM/1381zbMath1339.35229OpenAlexW1988833001MaRDI QIDQ5254378

Kuppalapalle Vajravelu, Hamid Bellout, Robert A. van Gorder

Publication date: 9 June 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:1448fa9a-df4d-4ef2-8653-fc115906fdbd

zbMATH Keywords

self-similar solutionsordinary differential equationsingular sourcetransonic gas flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Transonic flows (76H05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• Self-similar solutions to Lin-Reissner-Tsien equation
• On solvability of a spatial periodic problem for the Lin-Reissner-Tsien equation of transonic gas dynamics
• Lie-Bäcklund symmetries of linear ODEs and generalized separation of variables in nonlinear equations
• Structure of time-dependent transonic flows in plane channels
• The structural instability of transonic flow associated with amalgamation/splitting of supersonic regions
• On Two‐Dimensional Non‐Steady Motion of a Slender Body in a Compressible Fluid
• Analysis of fluid equations by group methods

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