Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature
dc.contributor.author | Qian, Chenyin | |
dc.date.accessioned | 2023-06-15T19:51:55Z | |
dc.date.available | 2023-06-15T19:51:55Z | |
dc.date.issued | 2016-03-15 | |
dc.description.abstract | In this article, we study the blow-up solutions for the 2D Euler-Boussinesq equation. In particular, it is shown that if ∫T*0 sup r≥2 ∥Λ1-αθ(t)∥Lr/√r log r dt < ∞ or ∫T*0 ∥Λ1-αθ∥Ḃ0∞,∞ dt < ∞, then the local solution can be continued to the global one. This is an improvement of classical Lipschitz-type blow-up criterion (∥∇θ∥L1tL∞) in terms of the temperature θ. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Qian, C. (2016). Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature. Electronic Journal of Differential Equations, 2016(73), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16945 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | 2D Boussinesq equation | |
dc.subject | Blow-up criterion | |
dc.subject | Besov space | |
dc.subject | Transport equation | |
dc.title | Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature | en_US |
dc.type | Article |