critical besov spaces
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Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2110
Author(s):  
Yan Liu ◽  
Baiping Ouyang

This paper is devoted to studying the Cauchy problem for non-homogeneous Boussinesq equations. We built the results on the critical Besov spaces (θ,u)∈LT∞(B˙p,1N/p)×LT∞(B˙p,1N/p−1)⋂LT1(B˙p,1N/p+1) with 1<p<2N. We proved the global existence of the solution when the initial velocity is small with respect to the viscosity, as well as the initial temperature approaches a positive constant. Furthermore, we proved the uniqueness for 1<p≤N. Our results can been seen as a version of symmetry in Besov space for the Boussinesq equations.





2020 ◽  
Vol 20 (4) ◽  
pp. 1287-1299
Author(s):  
Jinlu Li ◽  
Pingzhou Hong ◽  
Weipeng Zhu


2019 ◽  
Vol 60 (6) ◽  
pp. 061503
Author(s):  
Yuhui Chen ◽  
Wei Luo ◽  
Xiaoping Zhai


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