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

Date

2004-03-11

Authors

Barreto, Rioco K.
de Caldas, Cruz S. Q.
Gamboa, Pedro
Limaco, Juan

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Benjamin-Bona-Mahony equation, Rosenau equation, Noncylindrical domains

Citation

Barreto, R. K., de Caldas, C. S. Q., Gamboa, P., & Limaco, J. (2004). Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary. <i>Electronic Journal of Differential Equations, 2004</i>(35), pp. 1-12.

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Attribution 4.0 International

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