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Robust stabilization the Korteweg–de Vries–Burgers equation by boundary control

✍ Scribed by Rathinasamy Sakthivel


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
238 KB
Volume
58
Category
Article
ISSN
0924-090X

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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