Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation

2017 ◽  
Vol 22 (1) ◽  
pp. 19-28
Author(s):  
Fang Zhou
Keyword(s):  
Euler Equation ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Incompressible Euler Equation ◽  
Incompressible Euler

Quasineutral limit for a model of three-dimensional Euler–Poisson system with boundary

2018 ◽  
Vol 16 (02) ◽  
pp. 283-305
Author(s):  
Chundi Liu ◽  
Boyi Wang
Keyword(s):  
Boundary Layer ◽  
Three Dimensional ◽  
Expansion Method ◽  
Matched Asymptotic Expansion ◽  
Poisson System ◽  
Incompressible Euler Equation ◽  
Perturbation Problem ◽  
Quasineutral Limit ◽  
Asymptotic Expansion Method ◽  
Incompressible Euler

Quasineutral limit for a model of three-dimensional Euler–Poisson system in half space with a boundary layer is studied. Based on the matched asymptotic expansion method of singular perturbation problem and the elaborate energy method, we prove that the quasineutral regime is the incompressible Euler equation.

scholarly journals Multiscale analysis in Lagrangian formulation for the 2-D incompressible Euler equation

2005 ◽  
Vol 13 (5) ◽  
pp. 1153-1186 ◽  
Author(s):  
Thomas Y. Hou ◽  
◽  
Danping Yang ◽  
Hongyu Ran ◽  
◽  
...  
Keyword(s):  
Euler Equation ◽  
Multiscale Analysis ◽  
Lagrangian Formulation ◽  
Incompressible Euler Equation ◽  
Incompressible Euler
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