Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature

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dc.contributor.authorQian, Chenyin
dc.date.accessioned2023-06-15T19:51:55Z
dc.date.available2023-06-15T19:51:55Z
dc.date.issued2016-03-15
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationQian, 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.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16945
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subject2D Boussinesq equation
dc.subjectBlow-up criterion
dc.subjectBesov space
dc.subjectTransport equation
dc.titleBlow-up criterion for the 2D Euler-Boussinesq system in terms of temperatureen_US
dc.typeArticle

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