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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 6, Pages 1069–1071
(Mi zvmmf9624)
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On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation
A. V. Gasnikov Moscow Institute of Physics and Technology
Abstract:
An upper bound on the distance between the centers of two successive traveling waves occurring in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation is established under generic conditions. Taking into account a previously established lower bound, an asymptotically sharper estimate is derived.
Key words:
Burgers-type equation, asymptotics, phase shift.
Received: 25.08.2011
Citation:
A. V. Gasnikov, “On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 1069–1071; Comput. Math. Math. Phys., 52:6 (2012), 937–939
Linking options:
https://www.mathnet.ru/eng/zvmmf9624 https://www.mathnet.ru/eng/zvmmf/v52/i6/p1069
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Statistics & downloads: |
Abstract page: | 405 | Full-text PDF : | 102 | References: | 69 | First page: | 27 |
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