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Asymptotic behavior of solutions of the Hamer equation


Author: A. A. Solov′ev
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 26 (2014), nomer 3.
Journal: St. Petersburg Math. J. 26 (2015), 463-477
MSC (2010): Primary 35G55
DOI: https://doi.org/10.1090/S1061-0022-2015-01346-0
Published electronically: March 20, 2015
MathSciNet review: 3289180
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Abstract: In a preceding paper the leading term was found for the asymptotics as $ t\to +\infty $ of the solution of the initial problem for the Hamer equation, which is a simplest model for the motion of a radiating gas. Here, the second asymptotic term is constructed. It is proved that this term is proportional to the second term of the asymptotics of the solution of the initial problem for the Burgers equation.


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Additional Information

A. A. Solov′ev
Affiliation: Mathematics Department, Chelyabinsk State University, ul. Brat′ev Kashirinykh 129, Chelyabinsk 454001, Russia
Email: alsol@csu.ru

DOI: https://doi.org/10.1090/S1061-0022-2015-01346-0
Keywords: Asymptotic behavior, initial problem, radiating gas
Received by editor(s): March 18, 2013
Published electronically: March 20, 2015
Additional Notes: Supported by RFBR (grant no. 12-01-00259-a)
Article copyright: © Copyright 2015 American Mathematical Society