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dc.contributor.authorLi, Zongyuan
dc.contributor.authorWang, Weinan
dc.date.accessioned2021-07-12T20:57:47Z
dc.date.available2021-07-12T20:57:47Z
dc.date.issued2021-10
dc.identifier.citationLi, Z., & Wang, W. (2021). Norm inflation for the boussinesq system. Discrete and Continuous Dynamical Systems - Series B, 26(10), 5449–5463.en_US
dc.identifier.issn1553-524X
dc.identifier.doi10.3934/dcdsb.2020353
dc.identifier.urihttp://hdl.handle.net/10150/660357
dc.description.abstractWe prove the norm inflation phenomena for the Boussinesq system on T3. For arbitrarily small initial data (u0,ρ0) in the negative-order Besov spaces B˙−1∞,∞×B˙−1∞,∞, the solution can become arbitrarily large in a short time. Such largeness can be detected in ρ in Besov spaces of any negative order: B˙−s∞,∞ for any s>0.en_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en_US
dc.rights© 2021 American Institute of Mathematical Sciences. All rights reserved.en_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en_US
dc.subjectBoussinesq systemen_US
dc.subjectIll-posednessen_US
dc.subjectNegative order besov spacesen_US
dc.subjectNorm inflationen_US
dc.subjectPlane wavesen_US
dc.titleNorm inflation for the Boussinesq systemen_US
dc.typeArticleen_US
dc.contributor.departmentDepartment of Mathematics, University of Arizonaen_US
dc.identifier.journalDiscrete and Continuous Dynamical Systems - Series Ben_US
dc.description.note12 month embargo; published 01 October 2021en_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal accepted manuscripten_US
dc.identifier.pii1531-3492_2021_10_5449
dc.source.journaltitleDiscrete & Continuous Dynamical Systems - B
dc.source.volume26
dc.source.issue10
dc.source.beginpage5449


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