Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation

Bona, JL; Dougalis, VA; Karakashian, OA; McKinney, WR

dc.contributor.author	Bona, JL	en
dc.contributor.author	Dougalis, VA	en
dc.contributor.author	Karakashian, OA	en
dc.contributor.author	McKinney, WR	en
dc.date.accessioned	2014-03-01T01:08:45Z
dc.date.available	2014-03-01T01:08:45Z
dc.date.issued	1992	en
dc.identifier.issn	0168-9274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10658
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-38249010859&partnerID=40&md5=1ce8e54649585b6199c50305d20b2686	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	DE-VRIES EQUATION	en
dc.subject.other	DISPERSIVE WAVES	en
dc.subject.other	APPROXIMATIONS	en
dc.title	Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	A numerical scheme is suggested, discussed, and implemented for the approximation of solutions to the periodic initial-value problem for the generalized Korteweg-de Vries-Burgers equation. The resulting computer code is used to study singularity formation and other aspects of the interaction between nonlinearity, dispersion, and dissipation that is the hallmark of these evolutionary equations. It is found that unless the coefficient specifying the strength of the dissipation is large enough, initial data may lead to solutions that lose smoothness in finite time in exactly the same way as do solutions of the dissipationless equation. © 1992.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Applied Numerical Mathematics	en
dc.identifier.isi	ISI:A1992JM34300011	en
dc.identifier.volume	10	en
dc.identifier.issue	3-4	en
dc.identifier.spage	335	en
dc.identifier.epage	355	en