Asymptotics of the global solutions for a nonlinear telegraph equation

Wu, Y; Lai, S; Zhang, G

Asymptotics of the global solutions for a nonlinear telegraph equation

Wu, Y Lai, S Zhang, G

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Publisher:: Academic Publications
Publication Type:: Journal Article
Citation:: International Journal of Differential Equations and Applications, 2003, 8 (3), pp. 257 - 270
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Wu, Y	en_US
dc.contributor.author	Lai, S	en_US
dc.contributor.author	Zhang, G https://orcid.org/0000-0003-3960-0583	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	International Journal of Differential Equations and Applications, 2003, 8 (3), pp. 257 - 270	en_US
dc.identifier.issn	1311-2872	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8320
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.	en_US
dc.publisher	Academic Publications	en_US
dc.relation.ispartof	International Journal of Differential Equations and Applications	en_US
dc.title	Asymptotics of the global solutions for a nonlinear telegraph equation	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	8	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
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/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	open_access
pubs.consider-herdc	false	en_US
pubs.issue	3	en_US
pubs.volume	8	en_US

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.

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http://hdl.handle.net/10453/8320