𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Existence of Many Periodic Non-travelling Solutions to the Boussinesq Equation

✍ Scribed by Annalisa Crannell

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
523 KB
Volume
126
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

✦ Synopsis

This paper uses variational methods in particular, a generalization of the Mountain Pass Lemma of Rabinowitz together with an invariance argument to demonstrate the existence of (weak Sobolev) periodic, non-travelling solutions to the Boussinesq equation

πŸ“œ SIMILAR VOLUMES

Existence and non-existence of global so
Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
✍ Yang Zhijian πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 113 KB πŸ‘ 2 views

## Communicated by B. BrosowskıÍ n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR

Existence of periodic traveling wave sol
Existence of periodic traveling wave solutions for the Ostrovsky equation
✍ Naoyuki Ishimura; Tetsu Mizumachi πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 82 KB πŸ‘ 2 views

## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig

Solutions of the Boussinesq Equation on
Solutions of the Boussinesq Equation on a Periodic Domain
✍ F.L. Liu; D.L. Russell πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 673 KB

The existence and the uniqueness of solutions for a linear feedback controlled Boussinesq equation on a periodic domain are studied. The continuous dependence of the solution on initial data is also proved. The proof is based on conservation laws for the Boussinesq equation. \(O 1995\) Academic Pres