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Existence and asymptotic behavior of solution of Cauchy problem for the damped sixth-order Boussinesq equation

✍ Scribed by Polat, Necat; Pışkın, Erhan

Book ID
125530674
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
234 KB
Volume
31
Category
Article
ISSN
0168-9673

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Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation
✍ V. Varlamov 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 499 KB 👁 2 views

## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for