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Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line

✍ Scribed by Rosier, Lionel

Book ID
118208113
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
250 KB
Volume
39
Category
Article
ISSN
0363-0129

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Asymptotics of Solutions to the Boundary
Asymptotics of Solutions to the Boundary-Value Problem for the Korteweg–de Vries–Burgers Equation on a Half-Line
✍ Nakao Hayashi; Elena I. Kaikina; Ilia A. Shishmarev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 198 KB

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 .