Boundary-value problem for the Korteweg-de Vries-Burgers type equation
✍ Scribed by Nakao Hayashi; Elena I. Kaikina; H. Francisco Ruiz Paredes
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2001
- Tongue
- English
- Weight
- 222 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 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