Asymptotics as t → + ∞ of a Solution to the Periodic Cauchy Problem for the Damped Boussinesq Equation

Existence and Uniqueness of a Solution t

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