Korteweg-de Vries-Burgers equation on a segment
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Elena I. Kaikina
ekaikina@matmor.unam.mx
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Leonardo Guardado-Zavala
guardado@ps.itm.mx
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Hector F. Ruiz-Paredes
hruiz@sirio.tsemor.mx
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S. Juarez Zirate
sjzirate@matmor.unam.mx
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DOI:
https://doi.org/10.4067/S0719-06462010000100005Abstract
We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1)
We prove that if the initial data u0 ∈ L2, then there exists a unique solution u ∈ C ([0, ∞) ; L2) ∪ C ((0,∞) ; H1) of the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to x ∈ (0, 1) as t → ∞.
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Published
2010-03-01
How to Cite
[1]
E. I. Kaikina, L. Guardado-Zavala, H. F. Ruiz-Paredes, and S. Juarez Zirate, “Korteweg-de Vries-Burgers equation on a segment”, CUBO, vol. 12, no. 1, pp. 41–58, Mar. 2010.
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