Asymptotics of the global solutions for a nonlinear telegraph equation

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Show simple item record Wu, Y Lai, S Zhang, G 2010-05-28T09:42:26Z 2003-01
dc.identifier.citation International Journal of Differential Equations and Applications, 2003, 8 (3), pp. 257 - 270
dc.identifier.issn 1311-2872
dc.identifier.other C1UNSUBMIT en_US
dc.description.abstract In this paper, we consider an initial-boundary value problem for the following nonlinear telegraph equation Utt - U xx + 2au, + bu = f3(u 2 )xx, where t > 0, a, band (3 are constants. For the case b > a2 , we establish a global solution of the equation in the form of a Fourier series. The coefficients of the series are related to a small parameter present in the initial conditions and are expressed as uniformly convergent series of the parameter. The long time asymptotics of the global solution is found to decay exponentially in time.
dc.publisher Academic Publications
dc.title Asymptotics of the global solutions for a nonlinear telegraph equation
dc.type Journal Article
dc.parent International Journal of Differential Equations and Applications
dc.journal.volume 3
dc.journal.volume 8
dc.journal.number 3 en_US
dc.publocation Bulgaria en_US
dc.identifier.startpage 257 en_US
dc.identifier.endpage 270 en_US FEIT.School of Software en_US
dc.conference Verified OK en_US
dc.for 0102 Applied Mathematics
dc.personcode 020014
dc.percentage 100 en_US Applied Mathematics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US en_US
dc.location.activity en_US
dc.description.keywords global solution, initial-boundary value problem, nonlinear telegraph equations en_US
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group /University of Technology Sydney/Strength - Quantum Computation and Intelligent Systems
utslib.copyright.status Open Access 2015-04-15 12:23:47.074767+10
utslib.collection.history General (ID: 2)

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