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Solutions of the Boussinesq Equation on a Periodic Domain

โœ Scribed by F.L. Liu; D.L. Russell

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
630 KB
Volume
192
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Solutions of the Boussinesq Equation on
Solutions of the Boussinesq Equation on a Periodic Domain
โœ F.L. Liu; D.L. Russell ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

The Existence of Many Periodic Non-trave
The Existence of Many Periodic Non-travelling Solutions to the Boussinesq Equation
โœ Annalisa Crannell ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 523 KB

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