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Asymptotics for the Korteweg–de Vries–Burgers Equation

✍ Scribed by Nakao Hayashi; Pavel I. Naumkin


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
269 KB
Volume
22
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES


Asymptotics of Solutions to the Boundary
✍ Nakao Hayashi; Elena I. Kaikina; Ilia A. Shishmarev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 198 KB

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 .

The generalized Korteweg–de Vries–Burger
✍ Tomasz Dlotko 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 292 KB

The generalized KdV-Burgers equation u t +(δu xx +g(u)) x -νu xx +γ u = f (x), δ, ν > 0, γ ≥ 0, is considered in this paper. Using the parabolic regularization technique we prove local and global solvability in H 2 (R) of the Cauchy problem for this equation. Several regularity properties of the app