scholarly journals Eroding dipoles and vorticity growth for Euler flows in ${{\mathbb{R}}}^{3}$: the hairpin geometry as a model for finite-time blowup

2018 ◽  
Vol 50 (1) ◽  
pp. 011418
Author(s):  
Stephen Childress ◽  
Andrew D Gilbert
2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Wenming Hu

In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.


2016 ◽  
Vol 15 (1) ◽  
pp. 526-556 ◽  
Author(s):  
Lee DeVille ◽  
Sairaj Dhople ◽  
Alejandro D. Domínguez-García ◽  
Jiangmeng Zhang

2015 ◽  
Vol 337 (2) ◽  
pp. 473-482 ◽  
Author(s):  
Chongsheng Cao ◽  
Slim Ibrahim ◽  
Kenji Nakanishi ◽  
Edriss S. Titi

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