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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
673 KB
Volume
194
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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 Press. Inc.

๐Ÿ“œ SIMILAR VOLUMES

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