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.
Rights
Attribution 4.0 International