Local existence and blowup criterion of the Lagrangian averaged Euler equations in Besov spaces

2008 ◽  
Vol 7 (4) ◽  
pp. 845-852 ◽  
Author(s):  
Houyu Jia ◽  
◽  
Xiaofeng Liu ◽  
Keyword(s):  
Euler Equations ◽  
Besov Spaces ◽  
Local Existence ◽  
Blowup Criterion

Local existence with low regularity for the 2D compressible Euler equations

2021 ◽  
Vol 18 (03) ◽  
pp. 701-728
Author(s):  
Huali Zhang
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Euler Equations ◽  
Local Existence ◽  
Compressible Euler Equations ◽  
Two Dimensional ◽  
Spatial Derivative ◽  
Compressible Euler ◽  
The Cauchy Problem ◽  
Local Solutions

We prove the local existence, uniqueness and stability of local solutions for the Cauchy problem of two-dimensional compressible Euler equations, where the initial data of velocity, density, specific vorticity [Formula: see text] and the spatial derivative of specific vorticity [Formula: see text].

Local existence for the stochastic Euler equations with Lévy noise

2019 ◽  
Vol 113 (1-2) ◽  
pp. 1-27
Author(s):  
Igor Kukavica ◽  
Fanhui Xu
Keyword(s):  
Euler Equations ◽  
Local Existence ◽  
Lévy Noise ◽  
Levy Noise
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