Affiliation
Department of Mathematics, University of ArizonaIssue Date
2021-10
Metadata
Show full item recordCitation
Li, Z., & Wang, W. (2021). Norm inflation for the boussinesq system. Discrete and Continuous Dynamical Systems - Series B, 26(10), 5449–5463.Rights
© 2021 American Institute of Mathematical Sciences. All rights reserved.Collection Information
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.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.Note
12 month embargo; published 01 October 2021ISSN
1553-524XVersion
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.3934/dcdsb.2020353
