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Jordan Y. Hristov

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A note on approximate solutions to Zeldovich's equation

ABSTRACT
The double integral-balance approach and Barenblatt's assumed profile have been used to create approximate solutions to the Zeldovich equation, both linear and degenerate. The evaluation of the controlling dimensionless groups and proper dimensional scaling have been the main focus of the solution developments and analyses.
KEYWORDS
reaction-diffusion, approximate solutions, integral-balance method, scaling
PAPER SUBMITTED: 2024-09-29
PAPER REVISED: 2024-11-25
PAPER ACCEPTED: 2024-11-30
PUBLISHED ONLINE: 2024-12-07
DOI REFERENCE: https://doi.org/10.2298/TSCI240929273H
REFERENCES
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A note on approximate solutions to Zeldovich's equation