Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary

In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.

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Bibliographic Details
Published in:Electronic journal of differential equations 2004-03, Vol.2004 (35), p.1-12
Main Authors: Rioco K. Barreto, Cruz S. Q. De Caldas, Pedro Gamboa, Juan Limaco
Format: Article
Language:English
Subjects:
Benjamin-Bona-Mahony equation
noncylindrical domains
Rosenau equation
Online Access:Get full text
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Description
Summary:In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.
ISSN:1072-6691