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Singularity formation for the inhomogeneous nonlinear wave equation with damping
Author(s) -
Liu Jianli,
Zhang Xiaodan
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3993
Subject(s) - singularity , term (time) , mathematics , nonlinear system , wave equation , mathematical analysis , classical mechanics , physics , quantum mechanics
It is well known that the damping term will give more smooth effect to obtain global solutions. In this paper, we consider the effect of damping term on the solutions to system of inhomogeneous wave equation with damping term. We can obtain the singularity that will be formed in finite time for some large initial data. Copyright © 2016 John Wiley & Sons, Ltd.