scholarly journals Local existence with physical vacuum boundary condition to Euler equations with damping

2005 ◽  
Vol 210 (1) ◽  
pp. 217-231 ◽  
Author(s):  
Chao-Jiang Xu ◽  
Tong Yang
2021 ◽  
Vol 18 (03) ◽  
pp. 701-728
Author(s):  
Huali Zhang

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].


2019 ◽  
Vol 113 (1-2) ◽  
pp. 1-27
Author(s):  
Igor Kukavica ◽  
Fanhui Xu

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