Asymptotics of Solutions to the Boundary-Value Problem for the Korteweg–de Vries–Burgers Equation on a Half-Line

✍ Scribed by Nakao Hayashi; Elena I. Kaikina; Ilia A. Shishmarev

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 198 KB
• Volume: 265
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7717

✦ Synopsis

We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t → ∞ uniformly with respect to x > 0 where α = 0 1, 0 q t = q/ √ π e -q 2 , 1 q t = 1/2 √ π √ t e -q 2 2q √ t -1 + e -2q √ t .