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On the zero-dispersion limit of the benjamin-ono cauchy problem for positive initial data

dc.contributor.authorMiller, Peter D.en_US
dc.contributor.authorXu, Zhengjieen_US
dc.date.accessioned2010-11-18T20:26:49Z
dc.date.available2012-02-21T18:47:01Zen_US
dc.date.issued2011-02en_US
dc.identifier.citationMiller, Peter D.; Xu, Zhengjie (2011). "On the zero-dispersion limit of the benjamin-ono cauchy problem for positive initial data." Communications on Pure and Applied Mathematics 64(2): 205-270. <http://hdl.handle.net/2027.42/78297>en_US
dc.identifier.issn0010-3640en_US
dc.identifier.issn1097-0312en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/78297
dc.description.abstractWe study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-dispersion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate analogue of the method invented by Lax and Levermore to analyze the corresponding limit for the Korteweg–de Vries equation. © 2010 Wiley Periodicals, Inc.en_US
dc.format.extent1226959 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherWiley Subscription Services, Inc., A Wiley Companyen_US
dc.subject.otherMathematics and Statisticsen_US
dc.titleOn the zero-dispersion limit of the benjamin-ono cauchy problem for positive initial dataen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Department of Mathematics, East Hall, 530 Church Street, Ann Arbor, MI 48109en_US
dc.contributor.affiliationumUniversity of Michigan, Department of Mathematics, East Hall, 530 Church Street, Ann Arbor, MI 48109en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/78297/1/20345_ftp.pdf
dc.identifier.doi10.1002/cpa.20345en_US
dc.identifier.sourceCommunications on Pure and Applied Mathematicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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