Large-Time Behavior of a Linear Boussinesq System for the Water Waves

Author:

Bautista George J.,Pazoto Ademir F.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference13 articles.

1. Benjamin, T.B., Bona, J.L., Mahony, J.J.: Model equations for long waves in nonlinear, dispersive media. Philos. Trans. R. Soc. Lond. Ser. A 272, 47–78 (1972)

2. Bona, J.L., Chen, M., Saut, J.-C.: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. J. Nonlinear Sci. 12, 283–318 (2002)

3. Bona, J.L., Colin, T., Lannes, D.: Long wave approximations for water waves. Arch. Ration. Mech. Anal. 178, 373–410 (2005)

4. Boussinesq, J.: Théorie de l’intumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire. C. R. Acad. Sci. 72, 755–759 (1871)

5. Capistrano-Filho, R.A., Pazoto, A.F., Rosier, L.: Control of a Boussinesq system of KdV–KdV type on a bounded interval. arXiv:1401.6833 (2017)

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