Solutions of the Boussinesq Equation on a Periodic Domain

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.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1995-08, Vol.194 (1), p.78-102
Main Authors: Liu, F.L., Russell, D.L.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Description
Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1995.1287