Asymptotic theory for weakly non-linear wave equations in semi-infinite domains
Date
2004-01-02
Authors
Easwaran, Chirakkal V.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove the existence and uniqueness of solutions of a class of weakly non-linear wave equations in a semi-infinite region 0 ≤ x, t < L/ √|∈| under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations of the solutions in this region.
Description
Keywords
Multiple scale, Perturbation, Non-linear, waves, Asymptotic
Citation
Easwaran, C. V. (2004). Asymptotic theory for weakly non-linear wave equations in semi-infinite domains. <i>Electronic Journal of Differential Equations, 2004</i>(7), pp. 1-8.
Rights
Attribution 4.0 International