Norm inflation for the Boussinesq system
| dc.contributor.author | Li, Zongyuan | |
| dc.contributor.author | Wang, Weinan | |
| dc.date.accessioned | 2021-07-12T20:57:47Z | |
| dc.date.available | 2021-07-12T20:57:47Z | |
| dc.date.issued | 2021-10 | |
| dc.identifier.citation | Li, 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.issn | 1553-524X | |
| dc.identifier.doi | 10.3934/dcdsb.2020353 | |
| dc.identifier.uri | http://hdl.handle.net/10150/660357 | |
| dc.description.abstract | We 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.iso | en | en_US |
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | en_US |
| dc.rights | © 2021 American Institute of Mathematical Sciences. All rights reserved. | en_US |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en_US |
| dc.subject | Boussinesq system | en_US |
| dc.subject | Ill-posedness | en_US |
| dc.subject | Negative order besov spaces | en_US |
| dc.subject | Norm inflation | en_US |
| dc.subject | Plane waves | en_US |
| dc.title | Norm inflation for the Boussinesq system | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Department of Mathematics, University of Arizona | en_US |
| dc.identifier.journal | Discrete and Continuous Dynamical Systems - Series B | en_US |
| dc.description.note | 12 month embargo; published 01 October 2021 | en_US |
| dc.description.collectioninformation | This 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.version | Final accepted manuscript | en_US |
| dc.identifier.pii | 1531-3492_2021_10_5449 | |
| dc.source.journaltitle | Discrete & Continuous Dynamical Systems - B | |
| dc.source.volume | 26 | |
| dc.source.issue | 10 | |
| dc.source.beginpage | 5449 |
