Asymptotic behaviour of nonlinear wave equations in a noncylindrical domain becoming unbounded
Date
2017-11-21
Authors
Aibeche, Aissa
Hadi, Sara
Sengouga, Abdelmouhcene
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study the asymptotic behaviour for the solution of nonlinear wave equations in a noncylindrical domain, becoming unbounded in some directions, as the time t goes to infinity. If the limit of the source term is independent of these directions and t, the wave converges to the solution of an elliptic problem defined on a lower dimensional domain. The rate of convergence depends on the limit behaviour of the source term and on the coefficient of the nonlinear term.
Description
Keywords
Nonlinear wave equation, Asymptotic behaviour in time, Noncylindrical domains
Citation
Aibeche, A., Hadi, S., & Sengouga, A. (2017). Asymptotic behaviour of nonlinear wave equations in a noncylindrical domain becoming unbounded. <i>Electronic Journal of Differential Equations, 2017</i>(288), pp. 1-15.
Rights
Attribution 4.0 International