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Asymptotics of solutions to the periodic problem for a Burgers type equation

✍ Scribed by Pavel I. Naumkin; Cristian Jesus Rojas-Milla


Publisher
Springer
Year
2010
Tongue
English
Weight
185 KB
Volume
11
Category
Article
ISSN
1424-3199

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We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t β†’ ∞ uniformly with respect to x > 0 where Ξ± = 0 1, 0 q t = q/ √ Ο€ e -q 2 , 1 q t = 1/2 √ Ο€ √ t e -q 2 2q √ t -1 + e -2q √ t .