Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature
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Date
2016-03-15
Authors
Qian, Chenyin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
2D Boussinesq equation, Blow-up criterion, Besov space, Transport equation
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.
Rights
Attribution 4.0 International